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Finding the Fourth Proportional to 6,398.69, 8,830.06 and 3,566.06

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Solution

The fourth proportional to 6,398.69, 8,830.06 and 3,566.06 is: 4,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.69 : 8,830.06 = 3,566.06 : x
  2. Step 2: Convert to fraction form
    6,398.69/8,830.06 = 3,566.06/x
  3. Step 3: Cross multiply
    6,398.69x = 8,830.06 × 3,566.06
  4. Step 4: Simplify right side
    6,398.69x = 31,488,523.76
  5. Step 5: Solve for x
    x = 31,488,523.76/6,398.69
  6. Step 6: Final answer
    x = 4,921.09

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