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Finding the Fourth Proportional to 3,534.49, 4,877.31 and 1,962.55

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Solution

The fourth proportional to 3,534.49, 4,877.31 and 1,962.55 is: 2,708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.49 : 4,877.31 = 1,962.55 : x
  2. Step 2: Convert to fraction form
    3,534.49/4,877.31 = 1,962.55/x
  3. Step 3: Cross multiply
    3,534.49x = 4,877.31 × 1,962.55
  4. Step 4: Simplify right side
    3,534.49x = 9,571,964.74
  5. Step 5: Solve for x
    x = 9,571,964.74/3,534.49
  6. Step 6: Final answer
    x = 2,708.16

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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.