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Finding the Fourth Proportional to 4,115.84, 6,173.12 and 2,483.20

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Solution

The fourth proportional to 4,115.84, 6,173.12 and 2,483.20 is: 3,724.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.84 : 6,173.12 = 2,483.20 : x
  2. Step 2: Convert to fraction form
    4,115.84/6,173.12 = 2,483.20/x
  3. Step 3: Cross multiply
    4,115.84x = 6,173.12 × 2,483.20
  4. Step 4: Simplify right side
    4,115.84x = 15,329,091.58
  5. Step 5: Solve for x
    x = 15,329,091.58/4,115.84
  6. Step 6: Final answer
    x = 3,724.41

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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.