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Finding the Fourth Proportional to 5,094.74, 7,642.11 and 1,396.99

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Solution

The fourth proportional to 5,094.74, 7,642.11 and 1,396.99 is: 2,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.74 : 7,642.11 = 1,396.99 : x
  2. Step 2: Convert to fraction form
    5,094.74/7,642.11 = 1,396.99/x
  3. Step 3: Cross multiply
    5,094.74x = 7,642.11 × 1,396.99
  4. Step 4: Simplify right side
    5,094.74x = 10,675,966.04
  5. Step 5: Solve for x
    x = 10,675,966.04/5,094.74
  6. Step 6: Final answer
    x = 2,095.49

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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.