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Finding the Fourth Proportional to 3,867.84, 5,332.80 and 2,295.36

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Solution

The fourth proportional to 3,867.84, 5,332.80 and 2,295.36 is: 3,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.84 : 5,332.80 = 2,295.36 : x
  2. Step 2: Convert to fraction form
    3,867.84/5,332.80 = 2,295.36/x
  3. Step 3: Cross multiply
    3,867.84x = 5,332.80 × 2,295.36
  4. Step 4: Simplify right side
    3,867.84x = 12,240,695.81
  5. Step 5: Solve for x
    x = 12,240,695.81/3,867.84
  6. Step 6: Final answer
    x = 3,164.74

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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.