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Finding the Fourth Proportional to 5,532.71, 8,302.10 and 2,246.00

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Solution

The fourth proportional to 5,532.71, 8,302.10 and 2,246.00 is: 3,370.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.71 : 8,302.10 = 2,246.00 : x
  2. Step 2: Convert to fraction form
    5,532.71/8,302.10 = 2,246.00/x
  3. Step 3: Cross multiply
    5,532.71x = 8,302.10 × 2,246.00
  4. Step 4: Simplify right side
    5,532.71x = 18,646,463.86
  5. Step 5: Solve for x
    x = 18,646,463.86/5,532.71
  6. Step 6: Final answer
    x = 3,370.23

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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.