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Finding the Fourth Proportional to 5,565.40, 7,679.95 and 3,047.38

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Solution

The fourth proportional to 5,565.40, 7,679.95 and 3,047.38 is: 4,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.40 : 7,679.95 = 3,047.38 : x
  2. Step 2: Convert to fraction form
    5,565.40/7,679.95 = 3,047.38/x
  3. Step 3: Cross multiply
    5,565.40x = 7,679.95 × 3,047.38
  4. Step 4: Simplify right side
    5,565.40x = 23,403,726.03
  5. Step 5: Solve for x
    x = 23,403,726.03/5,565.40
  6. Step 6: Final answer
    x = 4,205.22

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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.