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Finding the Fourth Proportional to 3,928.37, 5,892.41 and 1,006.70

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Solution

The fourth proportional to 3,928.37, 5,892.41 and 1,006.70 is: 1,510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.37 : 5,892.41 = 1,006.70 : x
  2. Step 2: Convert to fraction form
    3,928.37/5,892.41 = 1,006.70/x
  3. Step 3: Cross multiply
    3,928.37x = 5,892.41 × 1,006.70
  4. Step 4: Simplify right side
    3,928.37x = 5,931,862.20
  5. Step 5: Solve for x
    x = 5,931,862.20/3,928.37
  6. Step 6: Final answer
    x = 1,510.01

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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.