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Finding the Fourth Proportional to 3,430.59, 4,732.47 and 2,169.52

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Solution

The fourth proportional to 3,430.59, 4,732.47 and 2,169.52 is: 2,992.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.59 : 4,732.47 = 2,169.52 : x
  2. Step 2: Convert to fraction form
    3,430.59/4,732.47 = 2,169.52/x
  3. Step 3: Cross multiply
    3,430.59x = 4,732.47 × 2,169.52
  4. Step 4: Simplify right side
    3,430.59x = 10,267,176.48
  5. Step 5: Solve for x
    x = 10,267,176.48/3,430.59
  6. Step 6: Final answer
    x = 2,992.83

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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.