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Finding the Fourth Proportional to 4,219.78, 6,332.10 and 1,754.68

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Solution

The fourth proportional to 4,219.78, 6,332.10 and 1,754.68 is: 2,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.78 : 6,332.10 = 1,754.68 : x
  2. Step 2: Convert to fraction form
    4,219.78/6,332.10 = 1,754.68/x
  3. Step 3: Cross multiply
    4,219.78x = 6,332.10 × 1,754.68
  4. Step 4: Simplify right side
    4,219.78x = 11,110,809.23
  5. Step 5: Solve for x
    x = 11,110,809.23/4,219.78
  6. Step 6: Final answer
    x = 2,633.03

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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.