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Finding the Fourth Proportional to 4,643.12, 6,967.07 and 3,084.20

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Solution

The fourth proportional to 4,643.12, 6,967.07 and 3,084.20 is: 4,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.12 : 6,967.07 = 3,084.20 : x
  2. Step 2: Convert to fraction form
    4,643.12/6,967.07 = 3,084.20/x
  3. Step 3: Cross multiply
    4,643.12x = 6,967.07 × 3,084.20
  4. Step 4: Simplify right side
    4,643.12x = 21,487,862.42
  5. Step 5: Solve for x
    x = 21,487,862.42/4,643.12
  6. Step 6: Final answer
    x = 4,627.89

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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.