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Finding the Fourth Proportional to 4,651.76, 6,972.78 and 2,054.36

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Solution

The fourth proportional to 4,651.76, 6,972.78 and 2,054.36 is: 3,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.76 : 6,972.78 = 2,054.36 : x
  2. Step 2: Convert to fraction form
    4,651.76/6,972.78 = 2,054.36/x
  3. Step 3: Cross multiply
    4,651.76x = 6,972.78 × 2,054.36
  4. Step 4: Simplify right side
    4,651.76x = 14,324,600.32
  5. Step 5: Solve for x
    x = 14,324,600.32/4,651.76
  6. Step 6: Final answer
    x = 3,079.39

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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.