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Finding the Fourth Proportional to 3,830,689.72, 5,731,841.16 and 3,070,224.76

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Solution

The fourth proportional to 3,830,689.72, 5,731,841.16 and 3,070,224.76 is: 4,593,961.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,689.72 : 5,731,841.16 = 3,070,224.76 : x
  2. Step 2: Convert to fraction form
    3,830,689.72/5,731,841.16 = 3,070,224.76/x
  3. Step 3: Cross multiply
    3,830,689.72x = 5,731,841.16 × 3,070,224.76
  4. Step 4: Simplify right side
    3,830,689.72x = 17,598,040,649,819.12
  5. Step 5: Solve for x
    x = 17,598,040,649,819.12/3,830,689.72
  6. Step 6: Final answer
    x = 4,593,961.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.