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Finding the Fourth Proportional to 5,582.28, 8,373.48 and 1,422.28

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Solution

The fourth proportional to 5,582.28, 8,373.48 and 1,422.28 is: 2,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.28 : 8,373.48 = 1,422.28 : x
  2. Step 2: Convert to fraction form
    5,582.28/8,373.48 = 1,422.28/x
  3. Step 3: Cross multiply
    5,582.28x = 8,373.48 × 1,422.28
  4. Step 4: Simplify right side
    5,582.28x = 11,909,384.16
  5. Step 5: Solve for x
    x = 11,909,384.16/5,582.28
  6. Step 6: Final answer
    x = 2,133.43

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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.