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Finding the Fourth Proportional to 3,448.42, 4,758.60 and 1,876.50

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Solution

The fourth proportional to 3,448.42, 4,758.60 and 1,876.50 is: 2,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.42 : 4,758.60 = 1,876.50 : x
  2. Step 2: Convert to fraction form
    3,448.42/4,758.60 = 1,876.50/x
  3. Step 3: Cross multiply
    3,448.42x = 4,758.60 × 1,876.50
  4. Step 4: Simplify right side
    3,448.42x = 8,929,512.90
  5. Step 5: Solve for x
    x = 8,929,512.90/3,448.42
  6. Step 6: Final answer
    x = 2,589.45

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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.