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Finding the Fourth Proportional to 4,643.17, 6,967.05 and 2,178.18

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Solution

The fourth proportional to 4,643.17, 6,967.05 and 2,178.18 is: 3,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.17 : 6,967.05 = 2,178.18 : x
  2. Step 2: Convert to fraction form
    4,643.17/6,967.05 = 2,178.18/x
  3. Step 3: Cross multiply
    4,643.17x = 6,967.05 × 2,178.18
  4. Step 4: Simplify right side
    4,643.17x = 15,175,443.24
  5. Step 5: Solve for x
    x = 15,175,443.24/4,643.17
  6. Step 6: Final answer
    x = 3,268.34

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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.