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Finding the Fourth Proportional to 4,972.95, 7,460.97 and 2,051.49

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Solution

The fourth proportional to 4,972.95, 7,460.97 and 2,051.49 is: 3,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.95 : 7,460.97 = 2,051.49 : x
  2. Step 2: Convert to fraction form
    4,972.95/7,460.97 = 2,051.49/x
  3. Step 3: Cross multiply
    4,972.95x = 7,460.97 × 2,051.49
  4. Step 4: Simplify right side
    4,972.95x = 15,306,105.35
  5. Step 5: Solve for x
    x = 15,306,105.35/4,972.95
  6. Step 6: Final answer
    x = 3,077.87

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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.