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Finding the Fourth Proportional to 5,038, 6,954.16 and 3,125.28

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Solution

The fourth proportional to 5,038, 6,954.16 and 3,125.28 is: 4,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038 : 6,954.16 = 3,125.28 : x
  2. Step 2: Convert to fraction form
    5,038/6,954.16 = 3,125.28/x
  3. Step 3: Cross multiply
    5,038x = 6,954.16 × 3,125.28
  4. Step 4: Simplify right side
    5,038x = 21,733,697.16
  5. Step 5: Solve for x
    x = 21,733,697.16/5,038
  6. Step 6: Final answer
    x = 4,313.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.