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Finding the Fourth Proportional to 5,134.29, 7,700.27 and 2,013.27

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Solution

The fourth proportional to 5,134.29, 7,700.27 and 2,013.27 is: 3,019.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.29 : 7,700.27 = 2,013.27 : x
  2. Step 2: Convert to fraction form
    5,134.29/7,700.27 = 2,013.27/x
  3. Step 3: Cross multiply
    5,134.29x = 7,700.27 × 2,013.27
  4. Step 4: Simplify right side
    5,134.29x = 15,502,712.52
  5. Step 5: Solve for x
    x = 15,502,712.52/5,134.29
  6. Step 6: Final answer
    x = 3,019.45

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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.