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Finding the Fourth Proportional to 5,584.76, 8,377.12 and 1,689.48

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Solution

The fourth proportional to 5,584.76, 8,377.12 and 1,689.48 is: 2,534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.76 : 8,377.12 = 1,689.48 : x
  2. Step 2: Convert to fraction form
    5,584.76/8,377.12 = 1,689.48/x
  3. Step 3: Cross multiply
    5,584.76x = 8,377.12 × 1,689.48
  4. Step 4: Simplify right side
    5,584.76x = 14,152,976.70
  5. Step 5: Solve for x
    x = 14,152,976.70/5,584.76
  6. Step 6: Final answer
    x = 2,534.21

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1.5x scale

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.