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Finding the Fourth Proportional to 4,013.40, 6,020.10 and 2,256.60

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Solution

The fourth proportional to 4,013.40, 6,020.10 and 2,256.60 is: 3,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.40 : 6,020.10 = 2,256.60 : x
  2. Step 2: Convert to fraction form
    4,013.40/6,020.10 = 2,256.60/x
  3. Step 3: Cross multiply
    4,013.40x = 6,020.10 × 2,256.60
  4. Step 4: Simplify right side
    4,013.40x = 13,584,957.66
  5. Step 5: Solve for x
    x = 13,584,957.66/4,013.40
  6. Step 6: Final answer
    x = 3,384.90

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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.