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Finding the Fourth Proportional to 3,218.27, 4,829.04 and 2,437.97

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Solution

The fourth proportional to 3,218.27, 4,829.04 and 2,437.97 is: 3,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.27 : 4,829.04 = 2,437.97 : x
  2. Step 2: Convert to fraction form
    3,218.27/4,829.04 = 2,437.97/x
  3. Step 3: Cross multiply
    3,218.27x = 4,829.04 × 2,437.97
  4. Step 4: Simplify right side
    3,218.27x = 11,773,030.50
  5. Step 5: Solve for x
    x = 11,773,030.50/3,218.27
  6. Step 6: Final answer
    x = 3,658.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.