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Finding the Fourth Proportional to 4,753.71, 7,130.55 and 1,290.96

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Solution

The fourth proportional to 4,753.71, 7,130.55 and 1,290.96 is: 1,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.71 : 7,130.55 = 1,290.96 : x
  2. Step 2: Convert to fraction form
    4,753.71/7,130.55 = 1,290.96/x
  3. Step 3: Cross multiply
    4,753.71x = 7,130.55 × 1,290.96
  4. Step 4: Simplify right side
    4,753.71x = 9,205,254.83
  5. Step 5: Solve for x
    x = 9,205,254.83/4,753.71
  6. Step 6: Final answer
    x = 1,936.44

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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.