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Finding the Fourth Proportional to 5,246.54, 7,869.80 and 1,548.48

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Solution

The fourth proportional to 5,246.54, 7,869.80 and 1,548.48 is: 2,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.54 : 7,869.80 = 1,548.48 : x
  2. Step 2: Convert to fraction form
    5,246.54/7,869.80 = 1,548.48/x
  3. Step 3: Cross multiply
    5,246.54x = 7,869.80 × 1,548.48
  4. Step 4: Simplify right side
    5,246.54x = 12,186,227.90
  5. Step 5: Solve for x
    x = 12,186,227.90/5,246.54
  6. Step 6: Final answer
    x = 2,322.72

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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.