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Finding the Fourth Proportional to 3,430.16, 4,733.97 and 2,473.86

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Solution

The fourth proportional to 3,430.16, 4,733.97 and 2,473.86 is: 3,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.16 : 4,733.97 = 2,473.86 : x
  2. Step 2: Convert to fraction form
    3,430.16/4,733.97 = 2,473.86/x
  3. Step 3: Cross multiply
    3,430.16x = 4,733.97 × 2,473.86
  4. Step 4: Simplify right side
    3,430.16x = 11,711,169.75
  5. Step 5: Solve for x
    x = 11,711,169.75/3,430.16
  6. Step 6: Final answer
    x = 3,414.18

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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.