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Finding the Fourth Proportional to 4,257.65, 6,384.77 and 2,506.20

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Solution

The fourth proportional to 4,257.65, 6,384.77 and 2,506.20 is: 3,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.65 : 6,384.77 = 2,506.20 : x
  2. Step 2: Convert to fraction form
    4,257.65/6,384.77 = 2,506.20/x
  3. Step 3: Cross multiply
    4,257.65x = 6,384.77 × 2,506.20
  4. Step 4: Simplify right side
    4,257.65x = 16,001,510.57
  5. Step 5: Solve for x
    x = 16,001,510.57/4,257.65
  6. Step 6: Final answer
    x = 3,758.30

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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.