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Finding the Fourth Proportional to 3,412.65, 4,712.19 and 2,218.23

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Solution

The fourth proportional to 3,412.65, 4,712.19 and 2,218.23 is: 3,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.65 : 4,712.19 = 2,218.23 : x
  2. Step 2: Convert to fraction form
    3,412.65/4,712.19 = 2,218.23/x
  3. Step 3: Cross multiply
    3,412.65x = 4,712.19 × 2,218.23
  4. Step 4: Simplify right side
    3,412.65x = 10,452,721.22
  5. Step 5: Solve for x
    x = 10,452,721.22/3,412.65
  6. Step 6: Final answer
    x = 3,062.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.