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Finding the Fourth Proportional to 5,948.59, 8,207.42 and 3,557.59

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Solution

The fourth proportional to 5,948.59, 8,207.42 and 3,557.59 is: 4,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.59 : 8,207.42 = 3,557.59 : x
  2. Step 2: Convert to fraction form
    5,948.59/8,207.42 = 3,557.59/x
  3. Step 3: Cross multiply
    5,948.59x = 8,207.42 × 3,557.59
  4. Step 4: Simplify right side
    5,948.59x = 29,198,576.49
  5. Step 5: Solve for x
    x = 29,198,576.49/5,948.59
  6. Step 6: Final answer
    x = 4,908.49

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1.5x scale

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.