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Finding the Fourth Proportional to 3,748.46, 5,616.50 and 3,055.50

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Solution

The fourth proportional to 3,748.46, 5,616.50 and 3,055.50 is: 4,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.46 : 5,616.50 = 3,055.50 : x
  2. Step 2: Convert to fraction form
    3,748.46/5,616.50 = 3,055.50/x
  3. Step 3: Cross multiply
    3,748.46x = 5,616.50 × 3,055.50
  4. Step 4: Simplify right side
    3,748.46x = 17,161,200.47
  5. Step 5: Solve for x
    x = 17,161,200.47/3,748.46
  6. Step 6: Final answer
    x = 4,578.21

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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.