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Finding the Fourth Proportional to 3,502.56, 4,828.89 and 2,829.61

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Solution

The fourth proportional to 3,502.56, 4,828.89 and 2,829.61 is: 3,901.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.56 : 4,828.89 = 2,829.61 : x
  2. Step 2: Convert to fraction form
    3,502.56/4,828.89 = 2,829.61/x
  3. Step 3: Cross multiply
    3,502.56x = 4,828.89 × 2,829.61
  4. Step 4: Simplify right side
    3,502.56x = 13,663,875.43
  5. Step 5: Solve for x
    x = 13,663,875.43/3,502.56
  6. Step 6: Final answer
    x = 3,901.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.