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Finding the Fourth Proportional to 3,713.94, 5,123.88 and 2,969.64

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Solution

The fourth proportional to 3,713.94, 5,123.88 and 2,969.64 is: 4,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.94 : 5,123.88 = 2,969.64 : x
  2. Step 2: Convert to fraction form
    3,713.94/5,123.88 = 2,969.64/x
  3. Step 3: Cross multiply
    3,713.94x = 5,123.88 × 2,969.64
  4. Step 4: Simplify right side
    3,713.94x = 15,216,079.00
  5. Step 5: Solve for x
    x = 15,216,079.00/3,713.94
  6. Step 6: Final answer
    x = 4,097.02

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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.