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Finding the Fourth Proportional to 4,468.74, 6,164.82 and 2,897.34

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Solution

The fourth proportional to 4,468.74, 6,164.82 and 2,897.34 is: 3,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.74 : 6,164.82 = 2,897.34 : x
  2. Step 2: Convert to fraction form
    4,468.74/6,164.82 = 2,897.34/x
  3. Step 3: Cross multiply
    4,468.74x = 6,164.82 × 2,897.34
  4. Step 4: Simplify right side
    4,468.74x = 17,861,579.58
  5. Step 5: Solve for x
    x = 17,861,579.58/4,468.74
  6. Step 6: Final answer
    x = 3,997.01

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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.