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Finding the Fourth Proportional to 3,302.02, 4,952.59 and 836.63

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Solution

The fourth proportional to 3,302.02, 4,952.59 and 836.63 is: 1,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.02 : 4,952.59 = 836.63 : x
  2. Step 2: Convert to fraction form
    3,302.02/4,952.59 = 836.63/x
  3. Step 3: Cross multiply
    3,302.02x = 4,952.59 × 836.63
  4. Step 4: Simplify right side
    3,302.02x = 4,143,481.80
  5. Step 5: Solve for x
    x = 4,143,481.80/3,302.02
  6. Step 6: Final answer
    x = 1,254.83

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