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Finding the Fourth Proportional to 3,985.72, 5,497.38 and 2,658.76

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Solution

The fourth proportional to 3,985.72, 5,497.38 and 2,658.76 is: 3,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.72 : 5,497.38 = 2,658.76 : x
  2. Step 2: Convert to fraction form
    3,985.72/5,497.38 = 2,658.76/x
  3. Step 3: Cross multiply
    3,985.72x = 5,497.38 × 2,658.76
  4. Step 4: Simplify right side
    3,985.72x = 14,616,214.05
  5. Step 5: Solve for x
    x = 14,616,214.05/3,985.72
  6. Step 6: Final answer
    x = 3,667.15

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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.