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Finding the Fourth Proportional to 4,670.30, 6,998.16 and 2,204.66

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Solution

The fourth proportional to 4,670.30, 6,998.16 and 2,204.66 is: 3,303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.30 : 6,998.16 = 2,204.66 : x
  2. Step 2: Convert to fraction form
    4,670.30/6,998.16 = 2,204.66/x
  3. Step 3: Cross multiply
    4,670.30x = 6,998.16 × 2,204.66
  4. Step 4: Simplify right side
    4,670.30x = 15,428,563.43
  5. Step 5: Solve for x
    x = 15,428,563.43/4,670.30
  6. Step 6: Final answer
    x = 3,303.55

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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.