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Finding the Fourth Proportional to 5,236.39, 7,854.55 and 1,287.63

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Solution

The fourth proportional to 5,236.39, 7,854.55 and 1,287.63 is: 1,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.39 : 7,854.55 = 1,287.63 : x
  2. Step 2: Convert to fraction form
    5,236.39/7,854.55 = 1,287.63/x
  3. Step 3: Cross multiply
    5,236.39x = 7,854.55 × 1,287.63
  4. Step 4: Simplify right side
    5,236.39x = 10,113,747.78
  5. Step 5: Solve for x
    x = 10,113,747.78/5,236.39
  6. Step 6: Final answer
    x = 1,931.44

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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.