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Finding the Fourth Proportional to 5,564.68, 8,347.98 and 1,867.27

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Solution

The fourth proportional to 5,564.68, 8,347.98 and 1,867.27 is: 2,801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.68 : 8,347.98 = 1,867.27 : x
  2. Step 2: Convert to fraction form
    5,564.68/8,347.98 = 1,867.27/x
  3. Step 3: Cross multiply
    5,564.68x = 8,347.98 × 1,867.27
  4. Step 4: Simplify right side
    5,564.68x = 15,587,932.61
  5. Step 5: Solve for x
    x = 15,587,932.61/5,564.68
  6. Step 6: Final answer
    x = 2,801.23

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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.