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Finding the Fourth Proportional to 6,046.30, 9,065.52 and 2,538.57

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Solution

The fourth proportional to 6,046.30, 9,065.52 and 2,538.57 is: 3,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.30 : 9,065.52 = 2,538.57 : x
  2. Step 2: Convert to fraction form
    6,046.30/9,065.52 = 2,538.57/x
  3. Step 3: Cross multiply
    6,046.30x = 9,065.52 × 2,538.57
  4. Step 4: Simplify right side
    6,046.30x = 23,013,457.11
  5. Step 5: Solve for x
    x = 23,013,457.11/6,046.30
  6. Step 6: Final answer
    x = 3,806.20

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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.