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Finding the Fourth Proportional to 6,118.25, 8,444 and 3,465.66

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Solution

The fourth proportional to 6,118.25, 8,444 and 3,465.66 is: 4,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,118.25 : 8,444 = 3,465.66 : x
  2. Step 2: Convert to fraction form
    6,118.25/8,444 = 3,465.66/x
  3. Step 3: Cross multiply
    6,118.25x = 8,444 × 3,465.66
  4. Step 4: Simplify right side
    6,118.25x = 29,264,033.04
  5. Step 5: Solve for x
    x = 29,264,033.04/6,118.25
  6. Step 6: Final answer
    x = 4,783.07

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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.