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Finding the Fourth Proportional to 3,718.90, 5,578.08 and 1,378.81

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Solution

The fourth proportional to 3,718.90, 5,578.08 and 1,378.81 is: 2,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.90 : 5,578.08 = 1,378.81 : x
  2. Step 2: Convert to fraction form
    3,718.90/5,578.08 = 1,378.81/x
  3. Step 3: Cross multiply
    3,718.90x = 5,578.08 × 1,378.81
  4. Step 4: Simplify right side
    3,718.90x = 7,691,112.48
  5. Step 5: Solve for x
    x = 7,691,112.48/3,718.90
  6. Step 6: Final answer
    x = 2,068.11

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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.