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Finding the Fourth Proportional to 5,872.74, 8,804.40 and 4,019.22

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Solution

The fourth proportional to 5,872.74, 8,804.40 and 4,019.22 is: 6,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.74 : 8,804.40 = 4,019.22 : x
  2. Step 2: Convert to fraction form
    5,872.74/8,804.40 = 4,019.22/x
  3. Step 3: Cross multiply
    5,872.74x = 8,804.40 × 4,019.22
  4. Step 4: Simplify right side
    5,872.74x = 35,386,820.57
  5. Step 5: Solve for x
    x = 35,386,820.57/5,872.74
  6. Step 6: Final answer
    x = 6,025.61

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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.