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Finding the Fourth Proportional to 3,430.03, 4,732.17 and 2,013.78

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Solution

The fourth proportional to 3,430.03, 4,732.17 and 2,013.78 is: 2,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.03 : 4,732.17 = 2,013.78 : x
  2. Step 2: Convert to fraction form
    3,430.03/4,732.17 = 2,013.78/x
  3. Step 3: Cross multiply
    3,430.03x = 4,732.17 × 2,013.78
  4. Step 4: Simplify right side
    3,430.03x = 9,529,549.30
  5. Step 5: Solve for x
    x = 9,529,549.30/3,430.03
  6. Step 6: Final answer
    x = 2,778.27

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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.