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Finding the Fourth Proportional to 3,706.02, 5,547.42 and 2,057.27

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Solution

The fourth proportional to 3,706.02, 5,547.42 and 2,057.27 is: 3,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.02 : 5,547.42 = 2,057.27 : x
  2. Step 2: Convert to fraction form
    3,706.02/5,547.42 = 2,057.27/x
  3. Step 3: Cross multiply
    3,706.02x = 5,547.42 × 2,057.27
  4. Step 4: Simplify right side
    3,706.02x = 11,412,513.01
  5. Step 5: Solve for x
    x = 11,412,513.01/3,706.02
  6. Step 6: Final answer
    x = 3,079.45

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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.