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Finding the Fourth Proportional to 4,612.37, 6,364.71 and 2,844

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Solution

The fourth proportional to 4,612.37, 6,364.71 and 2,844 is: 3,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.37 : 6,364.71 = 2,844 : x
  2. Step 2: Convert to fraction form
    4,612.37/6,364.71 = 2,844/x
  3. Step 3: Cross multiply
    4,612.37x = 6,364.71 × 2,844
  4. Step 4: Simplify right side
    4,612.37x = 18,101,235.24
  5. Step 5: Solve for x
    x = 18,101,235.24/4,612.37
  6. Step 6: Final answer
    x = 3,924.50

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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.