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Finding the Fourth Proportional to 4,606.70, 6,909.38 and 2,266.08

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Solution

The fourth proportional to 4,606.70, 6,909.38 and 2,266.08 is: 3,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.70 : 6,909.38 = 2,266.08 : x
  2. Step 2: Convert to fraction form
    4,606.70/6,909.38 = 2,266.08/x
  3. Step 3: Cross multiply
    4,606.70x = 6,909.38 × 2,266.08
  4. Step 4: Simplify right side
    4,606.70x = 15,657,207.83
  5. Step 5: Solve for x
    x = 15,657,207.83/4,606.70
  6. Step 6: Final answer
    x = 3,398.79

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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.