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Finding the Fourth Proportional to 4,561.65, 6,294.26 and 2,646.77

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Solution

The fourth proportional to 4,561.65, 6,294.26 and 2,646.77 is: 3,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.65 : 6,294.26 = 2,646.77 : x
  2. Step 2: Convert to fraction form
    4,561.65/6,294.26 = 2,646.77/x
  3. Step 3: Cross multiply
    4,561.65x = 6,294.26 × 2,646.77
  4. Step 4: Simplify right side
    4,561.65x = 16,659,433.69
  5. Step 5: Solve for x
    x = 16,659,433.69/4,561.65
  6. Step 6: Final answer
    x = 3,652.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.