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Finding the Fourth Proportional to 5,093.66, 7,639.86 and 1,396.20

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Solution

The fourth proportional to 5,093.66, 7,639.86 and 1,396.20 is: 2,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.66 : 7,639.86 = 1,396.20 : x
  2. Step 2: Convert to fraction form
    5,093.66/7,639.86 = 1,396.20/x
  3. Step 3: Cross multiply
    5,093.66x = 7,639.86 × 1,396.20
  4. Step 4: Simplify right side
    5,093.66x = 10,666,772.53
  5. Step 5: Solve for x
    x = 10,666,772.53/5,093.66
  6. Step 6: Final answer
    x = 2,094.13

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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.