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Finding the Fourth Proportional to 3,502.98, 4,833.88 and 1,931.18

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Solution

The fourth proportional to 3,502.98, 4,833.88 and 1,931.18 is: 2,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.98 : 4,833.88 = 1,931.18 : x
  2. Step 2: Convert to fraction form
    3,502.98/4,833.88 = 1,931.18/x
  3. Step 3: Cross multiply
    3,502.98x = 4,833.88 × 1,931.18
  4. Step 4: Simplify right side
    3,502.98x = 9,335,063.38
  5. Step 5: Solve for x
    x = 9,335,063.38/3,502.98
  6. Step 6: Final answer
    x = 2,664.89

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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.