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Finding the Fourth Proportional to 6,001.98, 8,284.43 and 3,484.64

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Solution

The fourth proportional to 6,001.98, 8,284.43 and 3,484.64 is: 4,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.98 : 8,284.43 = 3,484.64 : x
  2. Step 2: Convert to fraction form
    6,001.98/8,284.43 = 3,484.64/x
  3. Step 3: Cross multiply
    6,001.98x = 8,284.43 × 3,484.64
  4. Step 4: Simplify right side
    6,001.98x = 28,868,197.31
  5. Step 5: Solve for x
    x = 28,868,197.31/6,001.98
  6. Step 6: Final answer
    x = 4,809.78

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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.