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Finding the Fourth Proportional to 5,264.73, 7,898.31 and 2,803.14

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Solution

The fourth proportional to 5,264.73, 7,898.31 and 2,803.14 is: 4,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.73 : 7,898.31 = 2,803.14 : x
  2. Step 2: Convert to fraction form
    5,264.73/7,898.31 = 2,803.14/x
  3. Step 3: Cross multiply
    5,264.73x = 7,898.31 × 2,803.14
  4. Step 4: Simplify right side
    5,264.73x = 22,140,068.69
  5. Step 5: Solve for x
    x = 22,140,068.69/5,264.73
  6. Step 6: Final answer
    x = 4,205.36

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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.