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Finding the Fourth Proportional to 3,513.38, 5,268.98 and 1,047.74

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Solution

The fourth proportional to 3,513.38, 5,268.98 and 1,047.74 is: 1,571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.38 : 5,268.98 = 1,047.74 : x
  2. Step 2: Convert to fraction form
    3,513.38/5,268.98 = 1,047.74/x
  3. Step 3: Cross multiply
    3,513.38x = 5,268.98 × 1,047.74
  4. Step 4: Simplify right side
    3,513.38x = 5,520,521.11
  5. Step 5: Solve for x
    x = 5,520,521.11/3,513.38
  6. Step 6: Final answer
    x = 1,571.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.