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Finding the Fourth Proportional to 5,396.68, 8,095.14 and 2,473

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Solution

The fourth proportional to 5,396.68, 8,095.14 and 2,473 is: 3,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.68 : 8,095.14 = 2,473 : x
  2. Step 2: Convert to fraction form
    5,396.68/8,095.14 = 2,473/x
  3. Step 3: Cross multiply
    5,396.68x = 8,095.14 × 2,473
  4. Step 4: Simplify right side
    5,396.68x = 20,019,281.22
  5. Step 5: Solve for x
    x = 20,019,281.22/5,396.68
  6. Step 6: Final answer
    x = 3,709.55

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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.