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Finding the Fourth Proportional to 4,580.68, 6,854.01 and 2,732.80

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Solution

The fourth proportional to 4,580.68, 6,854.01 and 2,732.80 is: 4,089.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.68 : 6,854.01 = 2,732.80 : x
  2. Step 2: Convert to fraction form
    4,580.68/6,854.01 = 2,732.80/x
  3. Step 3: Cross multiply
    4,580.68x = 6,854.01 × 2,732.80
  4. Step 4: Simplify right side
    4,580.68x = 18,730,638.53
  5. Step 5: Solve for x
    x = 18,730,638.53/4,580.68
  6. Step 6: Final answer
    x = 4,089.05

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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.