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Finding the Fourth Proportional to 4,402.05, 6,598.92 and 1,478.31

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Solution

The fourth proportional to 4,402.05, 6,598.92 and 1,478.31 is: 2,216.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.05 : 6,598.92 = 1,478.31 : x
  2. Step 2: Convert to fraction form
    4,402.05/6,598.92 = 1,478.31/x
  3. Step 3: Cross multiply
    4,402.05x = 6,598.92 × 1,478.31
  4. Step 4: Simplify right side
    4,402.05x = 9,755,254.97
  5. Step 5: Solve for x
    x = 9,755,254.97/4,402.05
  6. Step 6: Final answer
    x = 2,216.07

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