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Finding the Fourth Proportional to 4,753.46, 7,130.18 and 1,290.71

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Solution

The fourth proportional to 4,753.46, 7,130.18 and 1,290.71 is: 1,936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.46 : 7,130.18 = 1,290.71 : x
  2. Step 2: Convert to fraction form
    4,753.46/7,130.18 = 1,290.71/x
  3. Step 3: Cross multiply
    4,753.46x = 7,130.18 × 1,290.71
  4. Step 4: Simplify right side
    4,753.46x = 9,202,952.52
  5. Step 5: Solve for x
    x = 9,202,952.52/4,753.46
  6. Step 6: Final answer
    x = 1,936.06

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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.