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Finding the Fourth Proportional to 4,502.18, 6,206.01 and 4,414.70

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Solution

The fourth proportional to 4,502.18, 6,206.01 and 4,414.70 is: 6,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.18 : 6,206.01 = 4,414.70 : x
  2. Step 2: Convert to fraction form
    4,502.18/6,206.01 = 4,414.70/x
  3. Step 3: Cross multiply
    4,502.18x = 6,206.01 × 4,414.70
  4. Step 4: Simplify right side
    4,502.18x = 27,397,672.35
  5. Step 5: Solve for x
    x = 27,397,672.35/4,502.18
  6. Step 6: Final answer
    x = 6,085.42

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