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Finding the Fourth Proportional to 3,807.10, 5,345.30 and 3,807.10

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Solution

The fourth proportional to 3,807.10, 5,345.30 and 3,807.10 is: 5,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.10 : 5,345.30 = 3,807.10 : x
  2. Step 2: Convert to fraction form
    3,807.10/5,345.30 = 3,807.10/x
  3. Step 3: Cross multiply
    3,807.10x = 5,345.30 × 3,807.10
  4. Step 4: Simplify right side
    3,807.10x = 20,350,091.63
  5. Step 5: Solve for x
    x = 20,350,091.63/3,807.10
  6. Step 6: Final answer
    x = 5,345.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.