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Finding the Fourth Proportional to 6,298.66, 8,690.39 and 3,645.91

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Solution

The fourth proportional to 6,298.66, 8,690.39 and 3,645.91 is: 5,030.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.66 : 8,690.39 = 3,645.91 : x
  2. Step 2: Convert to fraction form
    6,298.66/8,690.39 = 3,645.91/x
  3. Step 3: Cross multiply
    6,298.66x = 8,690.39 × 3,645.91
  4. Step 4: Simplify right side
    6,298.66x = 31,684,361.58
  5. Step 5: Solve for x
    x = 31,684,361.58/6,298.66
  6. Step 6: Final answer
    x = 5,030.33

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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.