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Finding the Fourth Proportional to 4,322.29, 6,479.65 and 3,668.40

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Solution

The fourth proportional to 4,322.29, 6,479.65 and 3,668.40 is: 5,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.29 : 6,479.65 = 3,668.40 : x
  2. Step 2: Convert to fraction form
    4,322.29/6,479.65 = 3,668.40/x
  3. Step 3: Cross multiply
    4,322.29x = 6,479.65 × 3,668.40
  4. Step 4: Simplify right side
    4,322.29x = 23,769,948.06
  5. Step 5: Solve for x
    x = 23,769,948.06/4,322.29
  6. Step 6: Final answer
    x = 5,499.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.