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Finding the Fourth Proportional to 3,874.76, 5,345.36 and 2,382.08

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Solution

The fourth proportional to 3,874.76, 5,345.36 and 2,382.08 is: 3,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.76 : 5,345.36 = 2,382.08 : x
  2. Step 2: Convert to fraction form
    3,874.76/5,345.36 = 2,382.08/x
  3. Step 3: Cross multiply
    3,874.76x = 5,345.36 × 2,382.08
  4. Step 4: Simplify right side
    3,874.76x = 12,733,075.15
  5. Step 5: Solve for x
    x = 12,733,075.15/3,874.76
  6. Step 6: Final answer
    x = 3,286.16

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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.