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Finding the Fourth Proportional to 5,438, 7,508.76 and 4,265.12

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Solution

The fourth proportional to 5,438, 7,508.76 and 4,265.12 is: 5,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438 : 7,508.76 = 4,265.12 : x
  2. Step 2: Convert to fraction form
    5,438/7,508.76 = 4,265.12/x
  3. Step 3: Cross multiply
    5,438x = 7,508.76 × 4,265.12
  4. Step 4: Simplify right side
    5,438x = 32,025,762.45
  5. Step 5: Solve for x
    x = 32,025,762.45/5,438
  6. Step 6: Final answer
    x = 5,889.25

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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.