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Finding the Fourth Proportional to 5,029, 7,544.14 and 1,381

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Solution

The fourth proportional to 5,029, 7,544.14 and 1,381 is: 2,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,029 : 7,544.14 = 1,381 : x
  2. Step 2: Convert to fraction form
    5,029/7,544.14 = 1,381/x
  3. Step 3: Cross multiply
    5,029x = 7,544.14 × 1,381
  4. Step 4: Simplify right side
    5,029x = 10,418,457.34
  5. Step 5: Solve for x
    x = 10,418,457.34/5,029
  6. Step 6: Final answer
    x = 2,071.68

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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.