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Finding the Fourth Proportional to 3,117.96, 4,674.24 and 1,473.66

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Solution

The fourth proportional to 3,117.96, 4,674.24 and 1,473.66 is: 2,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.96 : 4,674.24 = 1,473.66 : x
  2. Step 2: Convert to fraction form
    3,117.96/4,674.24 = 1,473.66/x
  3. Step 3: Cross multiply
    3,117.96x = 4,674.24 × 1,473.66
  4. Step 4: Simplify right side
    3,117.96x = 6,888,240.52
  5. Step 5: Solve for x
    x = 6,888,240.52/3,117.96
  6. Step 6: Final answer
    x = 2,209.21

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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.