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Finding the Fourth Proportional to 3,115.29, 4,663.61 and 3,004.53

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Solution

The fourth proportional to 3,115.29, 4,663.61 and 3,004.53 is: 4,497.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,115.29 : 4,663.61 = 3,004.53 : x
  2. Step 2: Convert to fraction form
    3,115.29/4,663.61 = 3,004.53/x
  3. Step 3: Cross multiply
    3,115.29x = 4,663.61 × 3,004.53
  4. Step 4: Simplify right side
    3,115.29x = 14,011,956.15
  5. Step 5: Solve for x
    x = 14,011,956.15/3,115.29
  6. Step 6: Final answer
    x = 4,497.80

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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.