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Finding the Fourth Proportional to 5,142.26, 7,097.02 and 3,152.46

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Solution

The fourth proportional to 5,142.26, 7,097.02 and 3,152.46 is: 4,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.26 : 7,097.02 = 3,152.46 : x
  2. Step 2: Convert to fraction form
    5,142.26/7,097.02 = 3,152.46/x
  3. Step 3: Cross multiply
    5,142.26x = 7,097.02 × 3,152.46
  4. Step 4: Simplify right side
    5,142.26x = 22,373,071.67
  5. Step 5: Solve for x
    x = 22,373,071.67/5,142.26
  6. Step 6: Final answer
    x = 4,350.82

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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.