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Finding the Fourth Proportional to 5,497.74, 7,587 and 3,402

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Solution

The fourth proportional to 5,497.74, 7,587 and 3,402 is: 4,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.74 : 7,587 = 3,402 : x
  2. Step 2: Convert to fraction form
    5,497.74/7,587 = 3,402/x
  3. Step 3: Cross multiply
    5,497.74x = 7,587 × 3,402
  4. Step 4: Simplify right side
    5,497.74x = 25,810,974
  5. Step 5: Solve for x
    x = 25,810,974/5,497.74
  6. Step 6: Final answer
    x = 4,694.83

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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.