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Finding the Fourth Proportional to 6,114.19, 8,442.75 and 3,880.03

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Solution

The fourth proportional to 6,114.19, 8,442.75 and 3,880.03 is: 5,357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.19 : 8,442.75 = 3,880.03 : x
  2. Step 2: Convert to fraction form
    6,114.19/8,442.75 = 3,880.03/x
  3. Step 3: Cross multiply
    6,114.19x = 8,442.75 × 3,880.03
  4. Step 4: Simplify right side
    6,114.19x = 32,758,123.28
  5. Step 5: Solve for x
    x = 32,758,123.28/6,114.19
  6. Step 6: Final answer
    x = 5,357.72

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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.