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Finding the Fourth Proportional to 4,113.70, 6,170.55 and 3,822.10

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Solution

The fourth proportional to 4,113.70, 6,170.55 and 3,822.10 is: 5,733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.70 : 6,170.55 = 3,822.10 : x
  2. Step 2: Convert to fraction form
    4,113.70/6,170.55 = 3,822.10/x
  3. Step 3: Cross multiply
    4,113.70x = 6,170.55 × 3,822.10
  4. Step 4: Simplify right side
    4,113.70x = 23,584,459.16
  5. Step 5: Solve for x
    x = 23,584,459.16/4,113.70
  6. Step 6: Final answer
    x = 5,733.15

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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.