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Finding the Fourth Proportional to 4,219.64, 6,301.42 and 4,173.84

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Solution

The fourth proportional to 4,219.64, 6,301.42 and 4,173.84 is: 6,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.64 : 6,301.42 = 4,173.84 : x
  2. Step 2: Convert to fraction form
    4,219.64/6,301.42 = 4,173.84/x
  3. Step 3: Cross multiply
    4,219.64x = 6,301.42 × 4,173.84
  4. Step 4: Simplify right side
    4,219.64x = 26,301,118.85
  5. Step 5: Solve for x
    x = 26,301,118.85/4,219.64
  6. Step 6: Final answer
    x = 6,233.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.