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Finding the Fourth Proportional to 3,878.76, 5,350.50 and 2,307.36

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Solution

The fourth proportional to 3,878.76, 5,350.50 and 2,307.36 is: 3,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.76 : 5,350.50 = 2,307.36 : x
  2. Step 2: Convert to fraction form
    3,878.76/5,350.50 = 2,307.36/x
  3. Step 3: Cross multiply
    3,878.76x = 5,350.50 × 2,307.36
  4. Step 4: Simplify right side
    3,878.76x = 12,345,529.68
  5. Step 5: Solve for x
    x = 12,345,529.68/3,878.76
  6. Step 6: Final answer
    x = 3,182.85

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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.