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Finding the Fourth Proportional to 5,857.48, 8,762.22 and 4,375.78

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Solution

The fourth proportional to 5,857.48, 8,762.22 and 4,375.78 is: 6,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.48 : 8,762.22 = 4,375.78 : x
  2. Step 2: Convert to fraction form
    5,857.48/8,762.22 = 4,375.78/x
  3. Step 3: Cross multiply
    5,857.48x = 8,762.22 × 4,375.78
  4. Step 4: Simplify right side
    5,857.48x = 38,341,547.03
  5. Step 5: Solve for x
    x = 38,341,547.03/5,857.48
  6. Step 6: Final answer
    x = 6,545.74

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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.