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Finding the Fourth Proportional to 4,106.01, 5,666.30 and 2,243.01

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Solution

The fourth proportional to 4,106.01, 5,666.30 and 2,243.01 is: 3,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.01 : 5,666.30 = 2,243.01 : x
  2. Step 2: Convert to fraction form
    4,106.01/5,666.30 = 2,243.01/x
  3. Step 3: Cross multiply
    4,106.01x = 5,666.30 × 2,243.01
  4. Step 4: Simplify right side
    4,106.01x = 12,709,567.56
  5. Step 5: Solve for x
    x = 12,709,567.56/4,106.01
  6. Step 6: Final answer
    x = 3,095.36

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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.