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Finding the Fourth Proportional to 6,452, 8,904.84 and 3,659.12

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Solution

The fourth proportional to 6,452, 8,904.84 and 3,659.12 is: 5,050.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452 : 8,904.84 = 3,659.12 : x
  2. Step 2: Convert to fraction form
    6,452/8,904.84 = 3,659.12/x
  3. Step 3: Cross multiply
    6,452x = 8,904.84 × 3,659.12
  4. Step 4: Simplify right side
    6,452x = 32,583,878.14
  5. Step 5: Solve for x
    x = 32,583,878.14/6,452
  6. Step 6: Final answer
    x = 5,050.20

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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.