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Finding the Fourth Proportional to 5,569.95, 7,689.30 and 4,308.15

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Solution

The fourth proportional to 5,569.95, 7,689.30 and 4,308.15 is: 5,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.95 : 7,689.30 = 4,308.15 : x
  2. Step 2: Convert to fraction form
    5,569.95/7,689.30 = 4,308.15/x
  3. Step 3: Cross multiply
    5,569.95x = 7,689.30 × 4,308.15
  4. Step 4: Simplify right side
    5,569.95x = 33,126,657.80
  5. Step 5: Solve for x
    x = 33,126,657.80/5,569.95
  6. Step 6: Final answer
    x = 5,947.39

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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.