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Finding the Fourth Proportional to 4,065.16, 6,101.16 and 3,143.20

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Solution

The fourth proportional to 4,065.16, 6,101.16 and 3,143.20 is: 4,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.16 : 6,101.16 = 3,143.20 : x
  2. Step 2: Convert to fraction form
    4,065.16/6,101.16 = 3,143.20/x
  3. Step 3: Cross multiply
    4,065.16x = 6,101.16 × 3,143.20
  4. Step 4: Simplify right side
    4,065.16x = 19,177,166.11
  5. Step 5: Solve for x
    x = 19,177,166.11/4,065.16
  6. Step 6: Final answer
    x = 4,717.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.