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Finding the Fourth Proportional to 5,146.52, 7,116 and 4,910

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Solution

The fourth proportional to 5,146.52, 7,116 and 4,910 is: 6,788.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.52 : 7,116 = 4,910 : x
  2. Step 2: Convert to fraction form
    5,146.52/7,116 = 4,910/x
  3. Step 3: Cross multiply
    5,146.52x = 7,116 × 4,910
  4. Step 4: Simplify right side
    5,146.52x = 34,939,560
  5. Step 5: Solve for x
    x = 34,939,560/5,146.52
  6. Step 6: Final answer
    x = 6,788.97

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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.