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Finding the Fourth Proportional to 4,572.27, 6,854.29 and 1,649.89

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Solution

The fourth proportional to 4,572.27, 6,854.29 and 1,649.89 is: 2,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.27 : 6,854.29 = 1,649.89 : x
  2. Step 2: Convert to fraction form
    4,572.27/6,854.29 = 1,649.89/x
  3. Step 3: Cross multiply
    4,572.27x = 6,854.29 × 1,649.89
  4. Step 4: Simplify right side
    4,572.27x = 11,308,824.53
  5. Step 5: Solve for x
    x = 11,308,824.53/4,572.27
  6. Step 6: Final answer
    x = 2,473.35

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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.