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Finding the Fourth Proportional to 5,107.65, 7,656 and 2,639.98

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Solution

The fourth proportional to 5,107.65, 7,656 and 2,639.98 is: 3,957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.65 : 7,656 = 2,639.98 : x
  2. Step 2: Convert to fraction form
    5,107.65/7,656 = 2,639.98/x
  3. Step 3: Cross multiply
    5,107.65x = 7,656 × 2,639.98
  4. Step 4: Simplify right side
    5,107.65x = 20,211,686.88
  5. Step 5: Solve for x
    x = 20,211,686.88/5,107.65
  6. Step 6: Final answer
    x = 3,957.14

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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.