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Finding the Fourth Proportional to 3,438.68, 4,745.66 and 2,878.16

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Solution

The fourth proportional to 3,438.68, 4,745.66 and 2,878.16 is: 3,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.68 : 4,745.66 = 2,878.16 : x
  2. Step 2: Convert to fraction form
    3,438.68/4,745.66 = 2,878.16/x
  3. Step 3: Cross multiply
    3,438.68x = 4,745.66 × 2,878.16
  4. Step 4: Simplify right side
    3,438.68x = 13,658,768.79
  5. Step 5: Solve for x
    x = 13,658,768.79/3,438.68
  6. Step 6: Final answer
    x = 3,972.10

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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.