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Finding the Fourth Proportional to 4,061.54, 6,091.76 and 1,140.08

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Solution

The fourth proportional to 4,061.54, 6,091.76 and 1,140.08 is: 1,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.54 : 6,091.76 = 1,140.08 : x
  2. Step 2: Convert to fraction form
    4,061.54/6,091.76 = 1,140.08/x
  3. Step 3: Cross multiply
    4,061.54x = 6,091.76 × 1,140.08
  4. Step 4: Simplify right side
    4,061.54x = 6,945,057.58
  5. Step 5: Solve for x
    x = 6,945,057.58/4,061.54
  6. Step 6: Final answer
    x = 1,709.96

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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.