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Finding the Fourth Proportional to 4,393.74, 6,589.98 and 1,472.07

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Solution

The fourth proportional to 4,393.74, 6,589.98 and 1,472.07 is: 2,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.74 : 6,589.98 = 1,472.07 : x
  2. Step 2: Convert to fraction form
    4,393.74/6,589.98 = 1,472.07/x
  3. Step 3: Cross multiply
    4,393.74x = 6,589.98 × 1,472.07
  4. Step 4: Simplify right side
    4,393.74x = 9,700,911.86
  5. Step 5: Solve for x
    x = 9,700,911.86/4,393.74
  6. Step 6: Final answer
    x = 2,207.89

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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.