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Finding the Fourth Proportional to 4,178.56, 5,768.04 and 2,411.68

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Solution

The fourth proportional to 4,178.56, 5,768.04 and 2,411.68 is: 3,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.56 : 5,768.04 = 2,411.68 : x
  2. Step 2: Convert to fraction form
    4,178.56/5,768.04 = 2,411.68/x
  3. Step 3: Cross multiply
    4,178.56x = 5,768.04 × 2,411.68
  4. Step 4: Simplify right side
    4,178.56x = 13,910,666.71
  5. Step 5: Solve for x
    x = 13,910,666.71/4,178.56
  6. Step 6: Final answer
    x = 3,329.06

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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.