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Finding the Fourth Proportional to 4,689.70, 7,046.70 and 4,155.10

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Solution

The fourth proportional to 4,689.70, 7,046.70 and 4,155.10 is: 6,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.70 : 7,046.70 = 4,155.10 : x
  2. Step 2: Convert to fraction form
    4,689.70/7,046.70 = 4,155.10/x
  3. Step 3: Cross multiply
    4,689.70x = 7,046.70 × 4,155.10
  4. Step 4: Simplify right side
    4,689.70x = 29,279,743.17
  5. Step 5: Solve for x
    x = 29,279,743.17/4,689.70
  6. Step 6: Final answer
    x = 6,243.41

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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.