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Finding the Fourth Proportional to 4,814.64, 6,646.86 and 3,244.86

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Solution

The fourth proportional to 4,814.64, 6,646.86 and 3,244.86 is: 4,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.64 : 6,646.86 = 3,244.86 : x
  2. Step 2: Convert to fraction form
    4,814.64/6,646.86 = 3,244.86/x
  3. Step 3: Cross multiply
    4,814.64x = 6,646.86 × 3,244.86
  4. Step 4: Simplify right side
    4,814.64x = 21,568,130.14
  5. Step 5: Solve for x
    x = 21,568,130.14/4,814.64
  6. Step 6: Final answer
    x = 4,479.70

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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.