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Finding the Fourth Proportional to 3,447.86, 4,758.80 and 2,103.75

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Solution

The fourth proportional to 3,447.86, 4,758.80 and 2,103.75 is: 2,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.86 : 4,758.80 = 2,103.75 : x
  2. Step 2: Convert to fraction form
    3,447.86/4,758.80 = 2,103.75/x
  3. Step 3: Cross multiply
    3,447.86x = 4,758.80 × 2,103.75
  4. Step 4: Simplify right side
    3,447.86x = 10,011,314.98
  5. Step 5: Solve for x
    x = 10,011,314.98/3,447.86
  6. Step 6: Final answer
    x = 2,903.64

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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.