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Finding the Fourth Proportional to 5,094.54, 7,030.17 and 2,825.76

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Solution

The fourth proportional to 5,094.54, 7,030.17 and 2,825.76 is: 3,899.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.54 : 7,030.17 = 2,825.76 : x
  2. Step 2: Convert to fraction form
    5,094.54/7,030.17 = 2,825.76/x
  3. Step 3: Cross multiply
    5,094.54x = 7,030.17 × 2,825.76
  4. Step 4: Simplify right side
    5,094.54x = 19,865,573.18
  5. Step 5: Solve for x
    x = 19,865,573.18/5,094.54
  6. Step 6: Final answer
    x = 3,899.39

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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.