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Finding the Fourth Proportional to 5,142.86, 7,097.15 and 2,785.00

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Solution

The fourth proportional to 5,142.86, 7,097.15 and 2,785.00 is: 3,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.86 : 7,097.15 = 2,785.00 : x
  2. Step 2: Convert to fraction form
    5,142.86/7,097.15 = 2,785.00/x
  3. Step 3: Cross multiply
    5,142.86x = 7,097.15 × 2,785.00
  4. Step 4: Simplify right side
    5,142.86x = 19,765,565.28
  5. Step 5: Solve for x
    x = 19,765,565.28/5,142.86
  6. Step 6: Final answer
    x = 3,843.30

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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.