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Finding the Fourth Proportional to 5,007.60, 6,909.84 and 2,769.66

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Solution

The fourth proportional to 5,007.60, 6,909.84 and 2,769.66 is: 3,821.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.60 : 6,909.84 = 2,769.66 : x
  2. Step 2: Convert to fraction form
    5,007.60/6,909.84 = 2,769.66/x
  3. Step 3: Cross multiply
    5,007.60x = 6,909.84 × 2,769.66
  4. Step 4: Simplify right side
    5,007.60x = 19,137,907.45
  5. Step 5: Solve for x
    x = 19,137,907.45/5,007.60
  6. Step 6: Final answer
    x = 3,821.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.