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Finding the Fourth Proportional to 4,647.83, 6,972.78 and 2,182.68

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Solution

The fourth proportional to 4,647.83, 6,972.78 and 2,182.68 is: 3,274.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.83 : 6,972.78 = 2,182.68 : x
  2. Step 2: Convert to fraction form
    4,647.83/6,972.78 = 2,182.68/x
  3. Step 3: Cross multiply
    4,647.83x = 6,972.78 × 2,182.68
  4. Step 4: Simplify right side
    4,647.83x = 15,219,347.45
  5. Step 5: Solve for x
    x = 15,219,347.45/4,647.83
  6. Step 6: Final answer
    x = 3,274.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.