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Finding the Fourth Proportional to 5,834.78, 8,752.14 and 1,452.22

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Solution

The fourth proportional to 5,834.78, 8,752.14 and 1,452.22 is: 2,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.78 : 8,752.14 = 1,452.22 : x
  2. Step 2: Convert to fraction form
    5,834.78/8,752.14 = 1,452.22/x
  3. Step 3: Cross multiply
    5,834.78x = 8,752.14 × 1,452.22
  4. Step 4: Simplify right side
    5,834.78x = 12,710,032.75
  5. Step 5: Solve for x
    x = 12,710,032.75/5,834.78
  6. Step 6: Final answer
    x = 2,178.32

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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.