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Finding the Fourth Proportional to 6,490.29, 9,723.12 and 3,852.22

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Solution

The fourth proportional to 6,490.29, 9,723.12 and 3,852.22 is: 5,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.29 : 9,723.12 = 3,852.22 : x
  2. Step 2: Convert to fraction form
    6,490.29/9,723.12 = 3,852.22/x
  3. Step 3: Cross multiply
    6,490.29x = 9,723.12 × 3,852.22
  4. Step 4: Simplify right side
    6,490.29x = 37,455,548.71
  5. Step 5: Solve for x
    x = 37,455,548.71/6,490.29
  6. Step 6: Final answer
    x = 5,771.02

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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.