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Finding the Fourth Proportional to 7,057.71, 10,577.40 and 2,892.90

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Solution

The fourth proportional to 7,057.71, 10,577.40 and 2,892.90 is: 4,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.71 : 10,577.40 = 2,892.90 : x
  2. Step 2: Convert to fraction form
    7,057.71/10,577.40 = 2,892.90/x
  3. Step 3: Cross multiply
    7,057.71x = 10,577.40 × 2,892.90
  4. Step 4: Simplify right side
    7,057.71x = 30,599,360.46
  5. Step 5: Solve for x
    x = 30,599,360.46/7,057.71
  6. Step 6: Final answer
    x = 4,335.59

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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.