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Finding the Fourth Proportional to 4,643.69, 6,963.53 and 2,886.05

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Solution

The fourth proportional to 4,643.69, 6,963.53 and 2,886.05 is: 4,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.69 : 6,963.53 = 2,886.05 : x
  2. Step 2: Convert to fraction form
    4,643.69/6,963.53 = 2,886.05/x
  3. Step 3: Cross multiply
    4,643.69x = 6,963.53 × 2,886.05
  4. Step 4: Simplify right side
    4,643.69x = 20,097,120.38
  5. Step 5: Solve for x
    x = 20,097,120.38/4,643.69
  6. Step 6: Final answer
    x = 4,327.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.