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Finding the Fourth Proportional to 4,393.56, 6,590.70 and 1,471.86

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Solution

The fourth proportional to 4,393.56, 6,590.70 and 1,471.86 is: 2,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.56 : 6,590.70 = 1,471.86 : x
  2. Step 2: Convert to fraction form
    4,393.56/6,590.70 = 1,471.86/x
  3. Step 3: Cross multiply
    4,393.56x = 6,590.70 × 1,471.86
  4. Step 4: Simplify right side
    4,393.56x = 9,700,587.70
  5. Step 5: Solve for x
    x = 9,700,587.70/4,393.56
  6. Step 6: Final answer
    x = 2,207.91

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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.