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Finding the Fourth Proportional to 3,534.66, 4,877.60 and 1,962.74

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Solution

The fourth proportional to 3,534.66, 4,877.60 and 1,962.74 is: 2,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.66 : 4,877.60 = 1,962.74 : x
  2. Step 2: Convert to fraction form
    3,534.66/4,877.60 = 1,962.74/x
  3. Step 3: Cross multiply
    3,534.66x = 4,877.60 × 1,962.74
  4. Step 4: Simplify right side
    3,534.66x = 9,573,460.62
  5. Step 5: Solve for x
    x = 9,573,460.62/3,534.66
  6. Step 6: Final answer
    x = 2,708.45

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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.