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Finding the Fourth Proportional to 5,486.61, 7,569.52 and 3,127.38

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Solution

The fourth proportional to 5,486.61, 7,569.52 and 3,127.38 is: 4,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.61 : 7,569.52 = 3,127.38 : x
  2. Step 2: Convert to fraction form
    5,486.61/7,569.52 = 3,127.38/x
  3. Step 3: Cross multiply
    5,486.61x = 7,569.52 × 3,127.38
  4. Step 4: Simplify right side
    5,486.61x = 23,672,765.46
  5. Step 5: Solve for x
    x = 23,672,765.46/5,486.61
  6. Step 6: Final answer
    x = 4,314.64

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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.