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Finding the Fourth Proportional to 4,410, 6,083.69 and 2,641.26

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Solution

The fourth proportional to 4,410, 6,083.69 and 2,641.26 is: 3,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410 : 6,083.69 = 2,641.26 : x
  2. Step 2: Convert to fraction form
    4,410/6,083.69 = 2,641.26/x
  3. Step 3: Cross multiply
    4,410x = 6,083.69 × 2,641.26
  4. Step 4: Simplify right side
    4,410x = 16,068,607.05
  5. Step 5: Solve for x
    x = 16,068,607.05/4,410
  6. Step 6: Final answer
    x = 3,643.68

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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.