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Finding the Fourth Proportional to 4,469.52, 6,705.76 and 1,547.84

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Solution

The fourth proportional to 4,469.52, 6,705.76 and 1,547.84 is: 2,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.52 : 6,705.76 = 1,547.84 : x
  2. Step 2: Convert to fraction form
    4,469.52/6,705.76 = 1,547.84/x
  3. Step 3: Cross multiply
    4,469.52x = 6,705.76 × 1,547.84
  4. Step 4: Simplify right side
    4,469.52x = 10,379,443.56
  5. Step 5: Solve for x
    x = 10,379,443.56/4,469.52
  6. Step 6: Final answer
    x = 2,322.27

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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.