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Finding the Fourth Proportional to 3,534.54, 4,877.82 and 1,962.78

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Solution

The fourth proportional to 3,534.54, 4,877.82 and 1,962.78 is: 2,708.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.54 : 4,877.82 = 1,962.78 : x
  2. Step 2: Convert to fraction form
    3,534.54/4,877.82 = 1,962.78/x
  3. Step 3: Cross multiply
    3,534.54x = 4,877.82 × 1,962.78
  4. Step 4: Simplify right side
    3,534.54x = 9,574,087.54
  5. Step 5: Solve for x
    x = 9,574,087.54/3,534.54
  6. Step 6: Final answer
    x = 2,708.72

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