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Finding the Fourth Proportional to 4,470.35, 6,704.00 and 1,547.97

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Solution

The fourth proportional to 4,470.35, 6,704.00 and 1,547.97 is: 2,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.35 : 6,704.00 = 1,547.97 : x
  2. Step 2: Convert to fraction form
    4,470.35/6,704.00 = 1,547.97/x
  3. Step 3: Cross multiply
    4,470.35x = 6,704.00 × 1,547.97
  4. Step 4: Simplify right side
    4,470.35x = 10,377,586.37
  5. Step 5: Solve for x
    x = 10,377,586.37/4,470.35
  6. Step 6: Final answer
    x = 2,321.43

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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.