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Finding the Fourth Proportional to 4,102.01, 5,660.78 and 2,239.01

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Solution

The fourth proportional to 4,102.01, 5,660.78 and 2,239.01 is: 3,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.01 : 5,660.78 = 2,239.01 : x
  2. Step 2: Convert to fraction form
    4,102.01/5,660.78 = 2,239.01/x
  3. Step 3: Cross multiply
    4,102.01x = 5,660.78 × 2,239.01
  4. Step 4: Simplify right side
    4,102.01x = 12,674,503.53
  5. Step 5: Solve for x
    x = 12,674,503.53/4,102.01
  6. Step 6: Final answer
    x = 3,089.83

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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.