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Finding the Fourth Proportional to 4,472.12, 6,707.96 and 1,698.57

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Solution

The fourth proportional to 4,472.12, 6,707.96 and 1,698.57 is: 2,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,472.12 : 6,707.96 = 1,698.57 : x
  2. Step 2: Convert to fraction form
    4,472.12/6,707.96 = 1,698.57/x
  3. Step 3: Cross multiply
    4,472.12x = 6,707.96 × 1,698.57
  4. Step 4: Simplify right side
    4,472.12x = 11,393,962.90
  5. Step 5: Solve for x
    x = 11,393,962.90/4,472.12
  6. Step 6: Final answer
    x = 2,547.78

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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.