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Finding the Fourth Proportional to 4,442.68, 6,649.30 and 2,465.20

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Solution

The fourth proportional to 4,442.68, 6,649.30 and 2,465.20 is: 3,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.68 : 6,649.30 = 2,465.20 : x
  2. Step 2: Convert to fraction form
    4,442.68/6,649.30 = 2,465.20/x
  3. Step 3: Cross multiply
    4,442.68x = 6,649.30 × 2,465.20
  4. Step 4: Simplify right side
    4,442.68x = 16,391,854.36
  5. Step 5: Solve for x
    x = 16,391,854.36/4,442.68
  6. Step 6: Final answer
    x = 3,689.63

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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.