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Finding the Fourth Proportional to 3,184.73, 4,397.07 and 2,437.35

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Solution

The fourth proportional to 3,184.73, 4,397.07 and 2,437.35 is: 3,365.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.73 : 4,397.07 = 2,437.35 : x
  2. Step 2: Convert to fraction form
    3,184.73/4,397.07 = 2,437.35/x
  3. Step 3: Cross multiply
    3,184.73x = 4,397.07 × 2,437.35
  4. Step 4: Simplify right side
    3,184.73x = 10,717,186.38
  5. Step 5: Solve for x
    x = 10,717,186.38/3,184.73
  6. Step 6: Final answer
    x = 3,365.18

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Why These Related Problems?

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