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Finding the Fourth Proportional to 3,928.48, 5,892.70 and 1,006.78

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Solution

The fourth proportional to 3,928.48, 5,892.70 and 1,006.78 is: 1,510.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.48 : 5,892.70 = 1,006.78 : x
  2. Step 2: Convert to fraction form
    3,928.48/5,892.70 = 1,006.78/x
  3. Step 3: Cross multiply
    3,928.48x = 5,892.70 × 1,006.78
  4. Step 4: Simplify right side
    3,928.48x = 5,932,652.51
  5. Step 5: Solve for x
    x = 5,932,652.51/3,928.48
  6. Step 6: Final answer
    x = 1,510.16

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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.