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Finding the Fourth Proportional to 6,452.66, 8,904.14 and 3,619.64

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Solution

The fourth proportional to 6,452.66, 8,904.14 and 3,619.64 is: 4,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.66 : 8,904.14 = 3,619.64 : x
  2. Step 2: Convert to fraction form
    6,452.66/8,904.14 = 3,619.64/x
  3. Step 3: Cross multiply
    6,452.66x = 8,904.14 × 3,619.64
  4. Step 4: Simplify right side
    6,452.66x = 32,229,785.47
  5. Step 5: Solve for x
    x = 32,229,785.47/6,452.66
  6. Step 6: Final answer
    x = 4,994.80

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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.