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Finding the Fourth Proportional to 3,867.84, 5,329.89 and 2,803.77

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Solution

The fourth proportional to 3,867.84, 5,329.89 and 2,803.77 is: 3,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.84 : 5,329.89 = 2,803.77 : x
  2. Step 2: Convert to fraction form
    3,867.84/5,329.89 = 2,803.77/x
  3. Step 3: Cross multiply
    3,867.84x = 5,329.89 × 2,803.77
  4. Step 4: Simplify right side
    3,867.84x = 14,943,785.69
  5. Step 5: Solve for x
    x = 14,943,785.69/3,867.84
  6. Step 6: Final answer
    x = 3,863.60

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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.