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Finding the Fourth Proportional to 3,598.64, 4,965.78 and 2,654.95

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Solution

The fourth proportional to 3,598.64, 4,965.78 and 2,654.95 is: 3,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.64 : 4,965.78 = 2,654.95 : x
  2. Step 2: Convert to fraction form
    3,598.64/4,965.78 = 2,654.95/x
  3. Step 3: Cross multiply
    3,598.64x = 4,965.78 × 2,654.95
  4. Step 4: Simplify right side
    3,598.64x = 13,183,897.61
  5. Step 5: Solve for x
    x = 13,183,897.61/3,598.64
  6. Step 6: Final answer
    x = 3,663.58

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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.