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Finding the Fourth Proportional to 4,206.80, 6,309.77 and 1,866.85

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Solution

The fourth proportional to 4,206.80, 6,309.77 and 1,866.85 is: 2,800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,206.80 : 6,309.77 = 1,866.85 : x
  2. Step 2: Convert to fraction form
    4,206.80/6,309.77 = 1,866.85/x
  3. Step 3: Cross multiply
    4,206.80x = 6,309.77 × 1,866.85
  4. Step 4: Simplify right side
    4,206.80x = 11,779,369.02
  5. Step 5: Solve for x
    x = 11,779,369.02/4,206.80
  6. Step 6: Final answer
    x = 2,800.08

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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.