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Finding the Fourth Proportional to 4,091.49, 5,646.24 and 2,323.67

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Solution

The fourth proportional to 4,091.49, 5,646.24 and 2,323.67 is: 3,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,091.49 : 5,646.24 = 2,323.67 : x
  2. Step 2: Convert to fraction form
    4,091.49/5,646.24 = 2,323.67/x
  3. Step 3: Cross multiply
    4,091.49x = 5,646.24 × 2,323.67
  4. Step 4: Simplify right side
    4,091.49x = 13,119,970.27
  5. Step 5: Solve for x
    x = 13,119,970.27/4,091.49
  6. Step 6: Final answer
    x = 3,206.65

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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.