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Finding the Fourth Proportional to 3,878.24, 5,347.72 and 3,376.40

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Solution

The fourth proportional to 3,878.24, 5,347.72 and 3,376.40 is: 4,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.24 : 5,347.72 = 3,376.40 : x
  2. Step 2: Convert to fraction form
    3,878.24/5,347.72 = 3,376.40/x
  3. Step 3: Cross multiply
    3,878.24x = 5,347.72 × 3,376.40
  4. Step 4: Simplify right side
    3,878.24x = 18,056,041.81
  5. Step 5: Solve for x
    x = 18,056,041.81/3,878.24
  6. Step 6: Final answer
    x = 4,655.73

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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.