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Finding the Fourth Proportional to 6,398.33, 8,829.74 and 3,566.03

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Solution

The fourth proportional to 6,398.33, 8,829.74 and 3,566.03 is: 4,921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.33 : 8,829.74 = 3,566.03 : x
  2. Step 2: Convert to fraction form
    6,398.33/8,829.74 = 3,566.03/x
  3. Step 3: Cross multiply
    6,398.33x = 8,829.74 × 3,566.03
  4. Step 4: Simplify right side
    6,398.33x = 31,487,082.50
  5. Step 5: Solve for x
    x = 31,487,082.50/6,398.33
  6. Step 6: Final answer
    x = 4,921.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.