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Finding the Fourth Proportional to 4,046.00, 6,057.59 and 2,142.01

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Solution

The fourth proportional to 4,046.00, 6,057.59 and 2,142.01 is: 3,206.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.00 : 6,057.59 = 2,142.01 : x
  2. Step 2: Convert to fraction form
    4,046.00/6,057.59 = 2,142.01/x
  3. Step 3: Cross multiply
    4,046.00x = 6,057.59 × 2,142.01
  4. Step 4: Simplify right side
    4,046.00x = 12,975,423.71
  5. Step 5: Solve for x
    x = 12,975,423.71/4,046.00
  6. Step 6: Final answer
    x = 3,206.97

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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.