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Finding the Fourth Proportional to 3,389.63, 4,678.94 and 2,552.76

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Solution

The fourth proportional to 3,389.63, 4,678.94 and 2,552.76 is: 3,523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.63 : 4,678.94 = 2,552.76 : x
  2. Step 2: Convert to fraction form
    3,389.63/4,678.94 = 2,552.76/x
  3. Step 3: Cross multiply
    3,389.63x = 4,678.94 × 2,552.76
  4. Step 4: Simplify right side
    3,389.63x = 11,944,217.26
  5. Step 5: Solve for x
    x = 11,944,217.26/3,389.63
  6. Step 6: Final answer
    x = 3,523.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.