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Finding the Fourth Proportional to 3,807.15, 5,710.91 and 1,342.00

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Solution

The fourth proportional to 3,807.15, 5,710.91 and 1,342.00 is: 2,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.15 : 5,710.91 = 1,342.00 : x
  2. Step 2: Convert to fraction form
    3,807.15/5,710.91 = 1,342.00/x
  3. Step 3: Cross multiply
    3,807.15x = 5,710.91 × 1,342.00
  4. Step 4: Simplify right side
    3,807.15x = 7,664,020.23
  5. Step 5: Solve for x
    x = 7,664,020.23/3,807.15
  6. Step 6: Final answer
    x = 2,013.06

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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.