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Finding the Fourth Proportional to 5,377.59, 8,063.42 and 1,678.32

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Solution

The fourth proportional to 5,377.59, 8,063.42 and 1,678.32 is: 2,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.59 : 8,063.42 = 1,678.32 : x
  2. Step 2: Convert to fraction form
    5,377.59/8,063.42 = 1,678.32/x
  3. Step 3: Cross multiply
    5,377.59x = 8,063.42 × 1,678.32
  4. Step 4: Simplify right side
    5,377.59x = 13,532,990.66
  5. Step 5: Solve for x
    x = 13,532,990.66/5,377.59
  6. Step 6: Final answer
    x = 2,516.55

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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.