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Finding the Fourth Proportional to 5,267.07, 7,267.71 and 3,142.50

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Solution

The fourth proportional to 5,267.07, 7,267.71 and 3,142.50 is: 4,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.07 : 7,267.71 = 3,142.50 : x
  2. Step 2: Convert to fraction form
    5,267.07/7,267.71 = 3,142.50/x
  3. Step 3: Cross multiply
    5,267.07x = 7,267.71 × 3,142.50
  4. Step 4: Simplify right side
    5,267.07x = 22,838,778.68
  5. Step 5: Solve for x
    x = 22,838,778.68/5,267.07
  6. Step 6: Final answer
    x = 4,336.14

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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.