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Finding the Fourth Proportional to 5,298.15, 7,947.27 and 1,402.50

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Solution

The fourth proportional to 5,298.15, 7,947.27 and 1,402.50 is: 2,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.15 : 7,947.27 = 1,402.50 : x
  2. Step 2: Convert to fraction form
    5,298.15/7,947.27 = 1,402.50/x
  3. Step 3: Cross multiply
    5,298.15x = 7,947.27 × 1,402.50
  4. Step 4: Simplify right side
    5,298.15x = 11,146,046.18
  5. Step 5: Solve for x
    x = 11,146,046.18/5,298.15
  6. Step 6: Final answer
    x = 2,103.76

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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.