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Finding the Fourth Proportional to 3,502.96, 5,252.86 and 1,036.91

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Solution

The fourth proportional to 3,502.96, 5,252.86 and 1,036.91 is: 1,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.96 : 5,252.86 = 1,036.91 : x
  2. Step 2: Convert to fraction form
    3,502.96/5,252.86 = 1,036.91/x
  3. Step 3: Cross multiply
    3,502.96x = 5,252.86 × 1,036.91
  4. Step 4: Simplify right side
    3,502.96x = 5,446,753.60
  5. Step 5: Solve for x
    x = 5,446,753.60/3,502.96
  6. Step 6: Final answer
    x = 1,554.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.