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Finding the Fourth Proportional to 3,421.72, 5,132.58 and 1,113.22

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Solution

The fourth proportional to 3,421.72, 5,132.58 and 1,113.22 is: 1,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.72 : 5,132.58 = 1,113.22 : x
  2. Step 2: Convert to fraction form
    3,421.72/5,132.58 = 1,113.22/x
  3. Step 3: Cross multiply
    3,421.72x = 5,132.58 × 1,113.22
  4. Step 4: Simplify right side
    3,421.72x = 5,713,690.71
  5. Step 5: Solve for x
    x = 5,713,690.71/3,421.72
  6. Step 6: Final answer
    x = 1,669.83

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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.