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Finding the Fourth Proportional to 3,430.64, 4,732.53 and 2,169.57

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Solution

The fourth proportional to 3,430.64, 4,732.53 and 2,169.57 is: 2,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.64 : 4,732.53 = 2,169.57 : x
  2. Step 2: Convert to fraction form
    3,430.64/4,732.53 = 2,169.57/x
  3. Step 3: Cross multiply
    3,430.64x = 4,732.53 × 2,169.57
  4. Step 4: Simplify right side
    3,430.64x = 10,267,555.11
  5. Step 5: Solve for x
    x = 10,267,555.11/3,430.64
  6. Step 6: Final answer
    x = 2,992.90

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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.