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Finding the Fourth Proportional to 2,713.83, 3,735.57 and 2,363.91

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Solution

The fourth proportional to 2,713.83, 3,735.57 and 2,363.91 is: 3,253.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.83 : 3,735.57 = 2,363.91 : x
  2. Step 2: Convert to fraction form
    2,713.83/3,735.57 = 2,363.91/x
  3. Step 3: Cross multiply
    2,713.83x = 3,735.57 × 2,363.91
  4. Step 4: Simplify right side
    2,713.83x = 8,830,551.28
  5. Step 5: Solve for x
    x = 8,830,551.28/2,713.83
  6. Step 6: Final answer
    x = 3,253.91

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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.