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Finding the Fourth Proportional to 5,868.48, 8,748.42 and 5,778.57

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Solution

The fourth proportional to 5,868.48, 8,748.42 and 5,778.57 is: 8,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.48 : 8,748.42 = 5,778.57 : x
  2. Step 2: Convert to fraction form
    5,868.48/8,748.42 = 5,778.57/x
  3. Step 3: Cross multiply
    5,868.48x = 8,748.42 × 5,778.57
  4. Step 4: Simplify right side
    5,868.48x = 50,553,357.36
  5. Step 5: Solve for x
    x = 50,553,357.36/5,868.48
  6. Step 6: Final answer
    x = 8,614.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.