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Finding the Fourth Proportional to 4,178.93, 5,767.04 and 2,290.68

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Solution

The fourth proportional to 4,178.93, 5,767.04 and 2,290.68 is: 3,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.93 : 5,767.04 = 2,290.68 : x
  2. Step 2: Convert to fraction form
    4,178.93/5,767.04 = 2,290.68/x
  3. Step 3: Cross multiply
    4,178.93x = 5,767.04 × 2,290.68
  4. Step 4: Simplify right side
    4,178.93x = 13,210,443.19
  5. Step 5: Solve for x
    x = 13,210,443.19/4,178.93
  6. Step 6: Final answer
    x = 3,161.20

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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.