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Finding the Fourth Proportional to 5,882.40, 8,823.60 and 1,722.24

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Solution

The fourth proportional to 5,882.40, 8,823.60 and 1,722.24 is: 2,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.40 : 8,823.60 = 1,722.24 : x
  2. Step 2: Convert to fraction form
    5,882.40/8,823.60 = 1,722.24/x
  3. Step 3: Cross multiply
    5,882.40x = 8,823.60 × 1,722.24
  4. Step 4: Simplify right side
    5,882.40x = 15,196,356.86
  5. Step 5: Solve for x
    x = 15,196,356.86/5,882.40
  6. Step 6: Final answer
    x = 2,583.36

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Similar ratio
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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.