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Finding the Fourth Proportional to 4,205.85, 6,301.83 and 2,557.41

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Solution

The fourth proportional to 4,205.85, 6,301.83 and 2,557.41 is: 3,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.85 : 6,301.83 = 2,557.41 : x
  2. Step 2: Convert to fraction form
    4,205.85/6,301.83 = 2,557.41/x
  3. Step 3: Cross multiply
    4,205.85x = 6,301.83 × 2,557.41
  4. Step 4: Simplify right side
    4,205.85x = 16,116,363.06
  5. Step 5: Solve for x
    x = 16,116,363.06/4,205.85
  6. Step 6: Final answer
    x = 3,831.89

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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.