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Finding the Fourth Proportional to 4,627.67, 6,386.05 and 2,531.75

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Solution

The fourth proportional to 4,627.67, 6,386.05 and 2,531.75 is: 3,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.67 : 6,386.05 = 2,531.75 : x
  2. Step 2: Convert to fraction form
    4,627.67/6,386.05 = 2,531.75/x
  3. Step 3: Cross multiply
    4,627.67x = 6,386.05 × 2,531.75
  4. Step 4: Simplify right side
    4,627.67x = 16,167,882.09
  5. Step 5: Solve for x
    x = 16,167,882.09/4,627.67
  6. Step 6: Final answer
    x = 3,493.74

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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.