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Finding the Fourth Proportional to 6,542.47, 9,025.17 and 3,888

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Solution

The fourth proportional to 6,542.47, 9,025.17 and 3,888 is: 5,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.47 : 9,025.17 = 3,888 : x
  2. Step 2: Convert to fraction form
    6,542.47/9,025.17 = 3,888/x
  3. Step 3: Cross multiply
    6,542.47x = 9,025.17 × 3,888
  4. Step 4: Simplify right side
    6,542.47x = 35,089,868.25
  5. Step 5: Solve for x
    x = 35,089,868.25/6,542.47
  6. Step 6: Final answer
    x = 5,363.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.