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Finding the Fourth Proportional to 7,574.42, 10,452.92 and 4,217.58

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Solution

The fourth proportional to 7,574.42, 10,452.92 and 4,217.58 is: 5,820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.42 : 10,452.92 = 4,217.58 : x
  2. Step 2: Convert to fraction form
    7,574.42/10,452.92 = 4,217.58/x
  3. Step 3: Cross multiply
    7,574.42x = 10,452.92 × 4,217.58
  4. Step 4: Simplify right side
    7,574.42x = 44,086,005.25
  5. Step 5: Solve for x
    x = 44,086,005.25/7,574.42
  6. Step 6: Final answer
    x = 5,820.38

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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.