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Finding the Fourth Proportional to 5,654, 8,481.52 and 1,550

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Solution

The fourth proportional to 5,654, 8,481.52 and 1,550 is: 2,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654 : 8,481.52 = 1,550 : x
  2. Step 2: Convert to fraction form
    5,654/8,481.52 = 1,550/x
  3. Step 3: Cross multiply
    5,654x = 8,481.52 × 1,550
  4. Step 4: Simplify right side
    5,654x = 13,146,356
  5. Step 5: Solve for x
    x = 13,146,356/5,654
  6. Step 6: Final answer
    x = 2,325.14

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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.