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Finding the Fourth Proportional to 6,041.16, 9,057.48 and 2,091.50

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Solution

The fourth proportional to 6,041.16, 9,057.48 and 2,091.50 is: 3,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.16 : 9,057.48 = 2,091.50 : x
  2. Step 2: Convert to fraction form
    6,041.16/9,057.48 = 2,091.50/x
  3. Step 3: Cross multiply
    6,041.16x = 9,057.48 × 2,091.50
  4. Step 4: Simplify right side
    6,041.16x = 18,943,719.42
  5. Step 5: Solve for x
    x = 18,943,719.42/6,041.16
  6. Step 6: Final answer
    x = 3,135.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.