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Finding the Fourth Proportional to 4,459.40, 6,689.10 and 4,382.60

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Solution

The fourth proportional to 4,459.40, 6,689.10 and 4,382.60 is: 6,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.40 : 6,689.10 = 4,382.60 : x
  2. Step 2: Convert to fraction form
    4,459.40/6,689.10 = 4,382.60/x
  3. Step 3: Cross multiply
    4,459.40x = 6,689.10 × 4,382.60
  4. Step 4: Simplify right side
    4,459.40x = 29,315,649.66
  5. Step 5: Solve for x
    x = 29,315,649.66/4,459.40
  6. Step 6: Final answer
    x = 6,573.90

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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.