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Finding the Fourth Proportional to 4,438.69, 6,646.65 and 4,307.30

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Solution

The fourth proportional to 4,438.69, 6,646.65 and 4,307.30 is: 6,449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438.69 : 6,646.65 = 4,307.30 : x
  2. Step 2: Convert to fraction form
    4,438.69/6,646.65 = 4,307.30/x
  3. Step 3: Cross multiply
    4,438.69x = 6,646.65 × 4,307.30
  4. Step 4: Simplify right side
    4,438.69x = 28,629,115.55
  5. Step 5: Solve for x
    x = 28,629,115.55/4,438.69
  6. Step 6: Final answer
    x = 6,449.90

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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.