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Finding the Fourth Proportional to 3,823.92, 5,277.23 and 2,407.07

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Solution

The fourth proportional to 3,823.92, 5,277.23 and 2,407.07 is: 3,321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.92 : 5,277.23 = 2,407.07 : x
  2. Step 2: Convert to fraction form
    3,823.92/5,277.23 = 2,407.07/x
  3. Step 3: Cross multiply
    3,823.92x = 5,277.23 × 2,407.07
  4. Step 4: Simplify right side
    3,823.92x = 12,702,623.59
  5. Step 5: Solve for x
    x = 12,702,623.59/3,823.92
  6. Step 6: Final answer
    x = 3,321.89

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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.