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Finding the Fourth Proportional to 5,584.92, 8,377.36 and 1,689.32

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Solution

The fourth proportional to 5,584.92, 8,377.36 and 1,689.32 is: 2,533.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.92 : 8,377.36 = 1,689.32 : x
  2. Step 2: Convert to fraction form
    5,584.92/8,377.36 = 1,689.32/x
  3. Step 3: Cross multiply
    5,584.92x = 8,377.36 × 1,689.32
  4. Step 4: Simplify right side
    5,584.92x = 14,152,041.80
  5. Step 5: Solve for x
    x = 14,152,041.80/5,584.92
  6. Step 6: Final answer
    x = 2,533.97

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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.