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Finding the Fourth Proportional to 5,246.57, 7,869.15 and 1,548.65

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Solution

The fourth proportional to 5,246.57, 7,869.15 and 1,548.65 is: 2,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.57 : 7,869.15 = 1,548.65 : x
  2. Step 2: Convert to fraction form
    5,246.57/7,869.15 = 1,548.65/x
  3. Step 3: Cross multiply
    5,246.57x = 7,869.15 × 1,548.65
  4. Step 4: Simplify right side
    5,246.57x = 12,186,578.82
  5. Step 5: Solve for x
    x = 12,186,578.82/5,246.57
  6. Step 6: Final answer
    x = 2,322.77

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Why These Related Problems?

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