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Finding the Fourth Proportional to 3,807.08, 5,702 and 2,049.02

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Solution

The fourth proportional to 3,807.08, 5,702 and 2,049.02 is: 3,068.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.08 : 5,702 = 2,049.02 : x
  2. Step 2: Convert to fraction form
    3,807.08/5,702 = 2,049.02/x
  3. Step 3: Cross multiply
    3,807.08x = 5,702 × 2,049.02
  4. Step 4: Simplify right side
    3,807.08x = 11,683,512.04
  5. Step 5: Solve for x
    x = 11,683,512.04/3,807.08
  6. Step 6: Final answer
    x = 3,068.89

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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.