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Finding the Fourth Proportional to 5,304.52, 7,947.66 and 2,840.50

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Solution

The fourth proportional to 5,304.52, 7,947.66 and 2,840.50 is: 4,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.52 : 7,947.66 = 2,840.50 : x
  2. Step 2: Convert to fraction form
    5,304.52/7,947.66 = 2,840.50/x
  3. Step 3: Cross multiply
    5,304.52x = 7,947.66 × 2,840.50
  4. Step 4: Simplify right side
    5,304.52x = 22,575,328.23
  5. Step 5: Solve for x
    x = 22,575,328.23/5,304.52
  6. Step 6: Final answer
    x = 4,255.87

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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.