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Finding the Fourth Proportional to 3,483.44, 4,807.56 and 2,086.16

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Solution

The fourth proportional to 3,483.44, 4,807.56 and 2,086.16 is: 2,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.44 : 4,807.56 = 2,086.16 : x
  2. Step 2: Convert to fraction form
    3,483.44/4,807.56 = 2,086.16/x
  3. Step 3: Cross multiply
    3,483.44x = 4,807.56 × 2,086.16
  4. Step 4: Simplify right side
    3,483.44x = 10,029,339.37
  5. Step 5: Solve for x
    x = 10,029,339.37/3,483.44
  6. Step 6: Final answer
    x = 2,879.15

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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.