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Finding the Fourth Proportional to 3,421.86, 4,691.38 and 3,359.58

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Solution

The fourth proportional to 3,421.86, 4,691.38 and 3,359.58 is: 4,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.86 : 4,691.38 = 3,359.58 : x
  2. Step 2: Convert to fraction form
    3,421.86/4,691.38 = 3,359.58/x
  3. Step 3: Cross multiply
    3,421.86x = 4,691.38 × 3,359.58
  4. Step 4: Simplify right side
    3,421.86x = 15,761,066.42
  5. Step 5: Solve for x
    x = 15,761,066.42/3,421.86
  6. Step 6: Final answer
    x = 4,605.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.