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Finding the Fourth Proportional to 4,542.58, 6,813.19 and 1,421.86

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Solution

The fourth proportional to 4,542.58, 6,813.19 and 1,421.86 is: 2,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.58 : 6,813.19 = 1,421.86 : x
  2. Step 2: Convert to fraction form
    4,542.58/6,813.19 = 1,421.86/x
  3. Step 3: Cross multiply
    4,542.58x = 6,813.19 × 1,421.86
  4. Step 4: Simplify right side
    4,542.58x = 9,687,402.33
  5. Step 5: Solve for x
    x = 9,687,402.33/4,542.58
  6. Step 6: Final answer
    x = 2,132.58

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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.