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Finding the Fourth Proportional to 4,291.05, 6,468.74 and 4,005.29

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Solution

The fourth proportional to 4,291.05, 6,468.74 and 4,005.29 is: 6,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.05 : 6,468.74 = 4,005.29 : x
  2. Step 2: Convert to fraction form
    4,291.05/6,468.74 = 4,005.29/x
  3. Step 3: Cross multiply
    4,291.05x = 6,468.74 × 4,005.29
  4. Step 4: Simplify right side
    4,291.05x = 25,909,190.80
  5. Step 5: Solve for x
    x = 25,909,190.80/4,291.05
  6. Step 6: Final answer
    x = 6,037.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.