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Finding the Fourth Proportional to 5,932.39, 8,900.13 and 1,772.40

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Solution

The fourth proportional to 5,932.39, 8,900.13 and 1,772.40 is: 2,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.39 : 8,900.13 = 1,772.40 : x
  2. Step 2: Convert to fraction form
    5,932.39/8,900.13 = 1,772.40/x
  3. Step 3: Cross multiply
    5,932.39x = 8,900.13 × 1,772.40
  4. Step 4: Simplify right side
    5,932.39x = 15,774,590.41
  5. Step 5: Solve for x
    x = 15,774,590.41/5,932.39
  6. Step 6: Final answer
    x = 2,659.06

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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.