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Finding the Fourth Proportional to 3,184.78, 4,395.27 and 1,858.91

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Solution

The fourth proportional to 3,184.78, 4,395.27 and 1,858.91 is: 2,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.78 : 4,395.27 = 1,858.91 : x
  2. Step 2: Convert to fraction form
    3,184.78/4,395.27 = 1,858.91/x
  3. Step 3: Cross multiply
    3,184.78x = 4,395.27 × 1,858.91
  4. Step 4: Simplify right side
    3,184.78x = 8,170,380.08
  5. Step 5: Solve for x
    x = 8,170,380.08/3,184.78
  6. Step 6: Final answer
    x = 2,565.45

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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.