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Finding the Fourth Proportional to 4,643.63, 6,967.72 and 2,178.65

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Solution

The fourth proportional to 4,643.63, 6,967.72 and 2,178.65 is: 3,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.63 : 6,967.72 = 2,178.65 : x
  2. Step 2: Convert to fraction form
    4,643.63/6,967.72 = 2,178.65/x
  3. Step 3: Cross multiply
    4,643.63x = 6,967.72 × 2,178.65
  4. Step 4: Simplify right side
    4,643.63x = 15,180,204.13
  5. Step 5: Solve for x
    x = 15,180,204.13/4,643.63
  6. Step 6: Final answer
    x = 3,269.04

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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.