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Finding the Fourth Proportional to 3,114.47, 4,672.61 and 1,006.04

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Solution

The fourth proportional to 3,114.47, 4,672.61 and 1,006.04 is: 1,509.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.47 : 4,672.61 = 1,006.04 : x
  2. Step 2: Convert to fraction form
    3,114.47/4,672.61 = 1,006.04/x
  3. Step 3: Cross multiply
    3,114.47x = 4,672.61 × 1,006.04
  4. Step 4: Simplify right side
    3,114.47x = 4,700,853.64
  5. Step 5: Solve for x
    x = 4,700,853.64/3,114.47
  6. Step 6: Final answer
    x = 1,509.36

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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.