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Finding the Fourth Proportional to 4,393.20, 6,590.04 and 1,471.24

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Solution

The fourth proportional to 4,393.20, 6,590.04 and 1,471.24 is: 2,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.20 : 6,590.04 = 1,471.24 : x
  2. Step 2: Convert to fraction form
    4,393.20/6,590.04 = 1,471.24/x
  3. Step 3: Cross multiply
    4,393.20x = 6,590.04 × 1,471.24
  4. Step 4: Simplify right side
    4,393.20x = 9,695,530.45
  5. Step 5: Solve for x
    x = 9,695,530.45/4,393.20
  6. Step 6: Final answer
    x = 2,206.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.