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Finding the Fourth Proportional to 5,669.69, 8,488.75 and 4,278.81

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Solution

The fourth proportional to 5,669.69, 8,488.75 and 4,278.81 is: 6,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.69 : 8,488.75 = 4,278.81 : x
  2. Step 2: Convert to fraction form
    5,669.69/8,488.75 = 4,278.81/x
  3. Step 3: Cross multiply
    5,669.69x = 8,488.75 × 4,278.81
  4. Step 4: Simplify right side
    5,669.69x = 36,321,748.39
  5. Step 5: Solve for x
    x = 36,321,748.39/5,669.69
  6. Step 6: Final answer
    x = 6,406.30

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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.