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Finding the Fourth Proportional to 4,752.89, 7,129.34 and 1,290.14

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Solution

The fourth proportional to 4,752.89, 7,129.34 and 1,290.14 is: 1,935.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.89 : 7,129.34 = 1,290.14 : x
  2. Step 2: Convert to fraction form
    4,752.89/7,129.34 = 1,290.14/x
  3. Step 3: Cross multiply
    4,752.89x = 7,129.34 × 1,290.14
  4. Step 4: Simplify right side
    4,752.89x = 9,197,847.13
  5. Step 5: Solve for x
    x = 9,197,847.13/4,752.89
  6. Step 6: Final answer
    x = 1,935.21

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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.