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Finding the Fourth Proportional to 4,233.16, 5,876.95 and 4,106.44

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Solution

The fourth proportional to 4,233.16, 5,876.95 and 4,106.44 is: 5,701.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.16 : 5,876.95 = 4,106.44 : x
  2. Step 2: Convert to fraction form
    4,233.16/5,876.95 = 4,106.44/x
  3. Step 3: Cross multiply
    4,233.16x = 5,876.95 × 4,106.44
  4. Step 4: Simplify right side
    4,233.16x = 24,133,342.56
  5. Step 5: Solve for x
    x = 24,133,342.56/4,233.16
  6. Step 6: Final answer
    x = 5,701.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.