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Finding the Fourth Proportional to 4,122, 5,688.21 and 2,353.50

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Solution

The fourth proportional to 4,122, 5,688.21 and 2,353.50 is: 3,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122 : 5,688.21 = 2,353.50 : x
  2. Step 2: Convert to fraction form
    4,122/5,688.21 = 2,353.50/x
  3. Step 3: Cross multiply
    4,122x = 5,688.21 × 2,353.50
  4. Step 4: Simplify right side
    4,122x = 13,387,202.24
  5. Step 5: Solve for x
    x = 13,387,202.24/4,122
  6. Step 6: Final answer
    x = 3,247.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.