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Finding the Fourth Proportional to 5,246.76, 7,867.42 and 1,548.52

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Solution

The fourth proportional to 5,246.76, 7,867.42 and 1,548.52 is: 2,321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.76 : 7,867.42 = 1,548.52 : x
  2. Step 2: Convert to fraction form
    5,246.76/7,867.42 = 1,548.52/x
  3. Step 3: Cross multiply
    5,246.76x = 7,867.42 × 1,548.52
  4. Step 4: Simplify right side
    5,246.76x = 12,182,857.22
  5. Step 5: Solve for x
    x = 12,182,857.22/5,246.76
  6. Step 6: Final answer
    x = 2,321.98

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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.