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Finding the Fourth Proportional to 5,703.20, 8,541.20 and 2,772.08

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Solution

The fourth proportional to 5,703.20, 8,541.20 and 2,772.08 is: 4,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.20 : 8,541.20 = 2,772.08 : x
  2. Step 2: Convert to fraction form
    5,703.20/8,541.20 = 2,772.08/x
  3. Step 3: Cross multiply
    5,703.20x = 8,541.20 × 2,772.08
  4. Step 4: Simplify right side
    5,703.20x = 23,676,889.70
  5. Step 5: Solve for x
    x = 23,676,889.70/5,703.20
  6. Step 6: Final answer
    x = 4,151.51

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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.