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Finding the Fourth Proportional to 3,591.64, 4,955.98 and 2,099.80

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Solution

The fourth proportional to 3,591.64, 4,955.98 and 2,099.80 is: 2,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.64 : 4,955.98 = 2,099.80 : x
  2. Step 2: Convert to fraction form
    3,591.64/4,955.98 = 2,099.80/x
  3. Step 3: Cross multiply
    3,591.64x = 4,955.98 × 2,099.80
  4. Step 4: Simplify right side
    3,591.64x = 10,406,566.80
  5. Step 5: Solve for x
    x = 10,406,566.80/3,591.64
  6. Step 6: Final answer
    x = 2,897.44

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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.