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Finding the Fourth Proportional to 5,298.17, 7,945.41 and 1,548.94

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Solution

The fourth proportional to 5,298.17, 7,945.41 and 1,548.94 is: 2,322.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.17 : 7,945.41 = 1,548.94 : x
  2. Step 2: Convert to fraction form
    5,298.17/7,945.41 = 1,548.94/x
  3. Step 3: Cross multiply
    5,298.17x = 7,945.41 × 1,548.94
  4. Step 4: Simplify right side
    5,298.17x = 12,306,987.10
  5. Step 5: Solve for x
    x = 12,306,987.10/5,298.17
  6. Step 6: Final answer
    x = 2,322.88

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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.