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Finding the Fourth Proportional to 4,562.00, 6,830.65 and 2,366.11

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Solution

The fourth proportional to 4,562.00, 6,830.65 and 2,366.11 is: 3,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.00 : 6,830.65 = 2,366.11 : x
  2. Step 2: Convert to fraction form
    4,562.00/6,830.65 = 2,366.11/x
  3. Step 3: Cross multiply
    4,562.00x = 6,830.65 × 2,366.11
  4. Step 4: Simplify right side
    4,562.00x = 16,162,046.28
  5. Step 5: Solve for x
    x = 16,162,046.28/4,562.00
  6. Step 6: Final answer
    x = 3,542.76

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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.