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Finding the Fourth Proportional to 3,055.40, 4,578.34 and 2,363.78

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Solution

The fourth proportional to 3,055.40, 4,578.34 and 2,363.78 is: 3,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.40 : 4,578.34 = 2,363.78 : x
  2. Step 2: Convert to fraction form
    3,055.40/4,578.34 = 2,363.78/x
  3. Step 3: Cross multiply
    3,055.40x = 4,578.34 × 2,363.78
  4. Step 4: Simplify right side
    3,055.40x = 10,822,188.53
  5. Step 5: Solve for x
    x = 10,822,188.53/3,055.40
  6. Step 6: Final answer
    x = 3,541.99

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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.