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Finding the Fourth Proportional to 5,295.65, 7,948.40 and 2,524.23

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Solution

The fourth proportional to 5,295.65, 7,948.40 and 2,524.23 is: 3,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.65 : 7,948.40 = 2,524.23 : x
  2. Step 2: Convert to fraction form
    5,295.65/7,948.40 = 2,524.23/x
  3. Step 3: Cross multiply
    5,295.65x = 7,948.40 × 2,524.23
  4. Step 4: Simplify right side
    5,295.65x = 20,063,577.11
  5. Step 5: Solve for x
    x = 20,063,577.11/5,295.65
  6. Step 6: Final answer
    x = 3,788.69

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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.