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Finding the Fourth Proportional to 6,041.74, 9,057.74 and 2,581.42

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Solution

The fourth proportional to 6,041.74, 9,057.74 and 2,581.42 is: 3,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.74 : 9,057.74 = 2,581.42 : x
  2. Step 2: Convert to fraction form
    6,041.74/9,057.74 = 2,581.42/x
  3. Step 3: Cross multiply
    6,041.74x = 9,057.74 × 2,581.42
  4. Step 4: Simplify right side
    6,041.74x = 23,381,831.19
  5. Step 5: Solve for x
    x = 23,381,831.19/6,041.74
  6. Step 6: Final answer
    x = 3,870.05

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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.