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Finding the Fourth Proportional to 3,518.52, 5,277.42 and 921.47

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Solution

The fourth proportional to 3,518.52, 5,277.42 and 921.47 is: 1,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.52 : 5,277.42 = 921.47 : x
  2. Step 2: Convert to fraction form
    3,518.52/5,277.42 = 921.47/x
  3. Step 3: Cross multiply
    3,518.52x = 5,277.42 × 921.47
  4. Step 4: Simplify right side
    3,518.52x = 4,862,957.82
  5. Step 5: Solve for x
    x = 4,862,957.82/3,518.52
  6. Step 6: Final answer
    x = 1,382.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.