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Finding the Fourth Proportional to 5,587.42, 8,358.04 and 4,589

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Solution

The fourth proportional to 5,587.42, 8,358.04 and 4,589 is: 6,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.42 : 8,358.04 = 4,589 : x
  2. Step 2: Convert to fraction form
    5,587.42/8,358.04 = 4,589/x
  3. Step 3: Cross multiply
    5,587.42x = 8,358.04 × 4,589
  4. Step 4: Simplify right side
    5,587.42x = 38,355,045.56
  5. Step 5: Solve for x
    x = 38,355,045.56/5,587.42
  6. Step 6: Final answer
    x = 6,864.54

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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.