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Finding the Fourth Proportional to 4,463.69, 6,164.08 and 2,873.12

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Solution

The fourth proportional to 4,463.69, 6,164.08 and 2,873.12 is: 3,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,463.69 : 6,164.08 = 2,873.12 : x
  2. Step 2: Convert to fraction form
    4,463.69/6,164.08 = 2,873.12/x
  3. Step 3: Cross multiply
    4,463.69x = 6,164.08 × 2,873.12
  4. Step 4: Simplify right side
    4,463.69x = 17,710,103.53
  5. Step 5: Solve for x
    x = 17,710,103.53/4,463.69
  6. Step 6: Final answer
    x = 3,967.60

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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.