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Finding the Fourth Proportional to 3,502.30, 5,253.54 and 1,310.61

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Solution

The fourth proportional to 3,502.30, 5,253.54 and 1,310.61 is: 1,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.30 : 5,253.54 = 1,310.61 : x
  2. Step 2: Convert to fraction form
    3,502.30/5,253.54 = 1,310.61/x
  3. Step 3: Cross multiply
    3,502.30x = 5,253.54 × 1,310.61
  4. Step 4: Simplify right side
    3,502.30x = 6,885,342.06
  5. Step 5: Solve for x
    x = 6,885,342.06/3,502.30
  6. Step 6: Final answer
    x = 1,965.95

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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.