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Finding the Fourth Proportional to 3,301.65, 4,952.45 and 836.47

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Solution

The fourth proportional to 3,301.65, 4,952.45 and 836.47 is: 1,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.65 : 4,952.45 = 836.47 : x
  2. Step 2: Convert to fraction form
    3,301.65/4,952.45 = 836.47/x
  3. Step 3: Cross multiply
    3,301.65x = 4,952.45 × 836.47
  4. Step 4: Simplify right side
    3,301.65x = 4,142,584.13
  5. Step 5: Solve for x
    x = 4,142,584.13/3,301.65
  6. Step 6: Final answer
    x = 1,254.70

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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.