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Finding the Fourth Proportional to 5,584.86, 8,377.70 and 1,689.57

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Solution

The fourth proportional to 5,584.86, 8,377.70 and 1,689.57 is: 2,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.86 : 8,377.70 = 1,689.57 : x
  2. Step 2: Convert to fraction form
    5,584.86/8,377.70 = 1,689.57/x
  3. Step 3: Cross multiply
    5,584.86x = 8,377.70 × 1,689.57
  4. Step 4: Simplify right side
    5,584.86x = 14,154,702.14
  5. Step 5: Solve for x
    x = 14,154,702.14/5,584.86
  6. Step 6: Final answer
    x = 2,534.48

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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.