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Finding the Fourth Proportional to 4,753.88, 7,129.74 and 1,291.40

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Solution

The fourth proportional to 4,753.88, 7,129.74 and 1,291.40 is: 1,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.88 : 7,129.74 = 1,291.40 : x
  2. Step 2: Convert to fraction form
    4,753.88/7,129.74 = 1,291.40/x
  3. Step 3: Cross multiply
    4,753.88x = 7,129.74 × 1,291.40
  4. Step 4: Simplify right side
    4,753.88x = 9,207,346.24
  5. Step 5: Solve for x
    x = 9,207,346.24/4,753.88
  6. Step 6: Final answer
    x = 1,936.81

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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.