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Finding the Fourth Proportional to 5,648.54, 8,457.16 and 4,257.66

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Solution

The fourth proportional to 5,648.54, 8,457.16 and 4,257.66 is: 6,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.54 : 8,457.16 = 4,257.66 : x
  2. Step 2: Convert to fraction form
    5,648.54/8,457.16 = 4,257.66/x
  3. Step 3: Cross multiply
    5,648.54x = 8,457.16 × 4,257.66
  4. Step 4: Simplify right side
    5,648.54x = 36,007,711.85
  5. Step 5: Solve for x
    x = 36,007,711.85/5,648.54
  6. Step 6: Final answer
    x = 6,374.69

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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.