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Finding the Fourth Proportional to 2,972.77, 4,460.07 and 2,356.77

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Solution

The fourth proportional to 2,972.77, 4,460.07 and 2,356.77 is: 3,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.77 : 4,460.07 = 2,356.77 : x
  2. Step 2: Convert to fraction form
    2,972.77/4,460.07 = 2,356.77/x
  3. Step 3: Cross multiply
    2,972.77x = 4,460.07 × 2,356.77
  4. Step 4: Simplify right side
    2,972.77x = 10,511,336.87
  5. Step 5: Solve for x
    x = 10,511,336.87/2,972.77
  6. Step 6: Final answer
    x = 3,535.87

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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.