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Finding the Fourth Proportional to 4,377.53, 6,567.17 and 1,257.56

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Solution

The fourth proportional to 4,377.53, 6,567.17 and 1,257.56 is: 1,886.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.53 : 6,567.17 = 1,257.56 : x
  2. Step 2: Convert to fraction form
    4,377.53/6,567.17 = 1,257.56/x
  3. Step 3: Cross multiply
    4,377.53x = 6,567.17 × 1,257.56
  4. Step 4: Simplify right side
    4,377.53x = 8,258,595.81
  5. Step 5: Solve for x
    x = 8,258,595.81/4,377.53
  6. Step 6: Final answer
    x = 1,886.59

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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.