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Finding the Fourth Proportional to 4,013.70, 5,538.02 and 2,334.14

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Solution

The fourth proportional to 4,013.70, 5,538.02 and 2,334.14 is: 3,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.70 : 5,538.02 = 2,334.14 : x
  2. Step 2: Convert to fraction form
    4,013.70/5,538.02 = 2,334.14/x
  3. Step 3: Cross multiply
    4,013.70x = 5,538.02 × 2,334.14
  4. Step 4: Simplify right side
    4,013.70x = 12,926,514.00
  5. Step 5: Solve for x
    x = 12,926,514.00/4,013.70
  6. Step 6: Final answer
    x = 3,220.60

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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.