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Finding the Fourth Proportional to 4,393.98, 6,591.24 and 1,471.50

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Solution

The fourth proportional to 4,393.98, 6,591.24 and 1,471.50 is: 2,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.98 : 6,591.24 = 1,471.50 : x
  2. Step 2: Convert to fraction form
    4,393.98/6,591.24 = 1,471.50/x
  3. Step 3: Cross multiply
    4,393.98x = 6,591.24 × 1,471.50
  4. Step 4: Simplify right side
    4,393.98x = 9,699,009.66
  5. Step 5: Solve for x
    x = 9,699,009.66/4,393.98
  6. Step 6: Final answer
    x = 2,207.34

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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.