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Finding the Fourth Proportional to 5,159.89, 7,126.51 and 3,478.40

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Solution

The fourth proportional to 5,159.89, 7,126.51 and 3,478.40 is: 4,804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.89 : 7,126.51 = 3,478.40 : x
  2. Step 2: Convert to fraction form
    5,159.89/7,126.51 = 3,478.40/x
  3. Step 3: Cross multiply
    5,159.89x = 7,126.51 × 3,478.40
  4. Step 4: Simplify right side
    5,159.89x = 24,788,852.38
  5. Step 5: Solve for x
    x = 24,788,852.38/5,159.89
  6. Step 6: Final answer
    x = 4,804.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.