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Finding the Fourth Proportional to 6,177.64, 8,521.94 and 3,788.18

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Solution

The fourth proportional to 6,177.64, 8,521.94 and 3,788.18 is: 5,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.64 : 8,521.94 = 3,788.18 : x
  2. Step 2: Convert to fraction form
    6,177.64/8,521.94 = 3,788.18/x
  3. Step 3: Cross multiply
    6,177.64x = 8,521.94 × 3,788.18
  4. Step 4: Simplify right side
    6,177.64x = 32,282,599.04
  5. Step 5: Solve for x
    x = 32,282,599.04/6,177.64
  6. Step 6: Final answer
    x = 5,225.71

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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.