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Finding the Fourth Proportional to 4,338.37, 6,509.02 and 1,377.30

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Solution

The fourth proportional to 4,338.37, 6,509.02 and 1,377.30 is: 2,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.37 : 6,509.02 = 1,377.30 : x
  2. Step 2: Convert to fraction form
    4,338.37/6,509.02 = 1,377.30/x
  3. Step 3: Cross multiply
    4,338.37x = 6,509.02 × 1,377.30
  4. Step 4: Simplify right side
    4,338.37x = 8,964,873.25
  5. Step 5: Solve for x
    x = 8,964,873.25/4,338.37
  6. Step 6: Final answer
    x = 2,066.42

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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.