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Finding the Fourth Proportional to 3,463.86, 4,776.03 and 2,798.65

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Solution

The fourth proportional to 3,463.86, 4,776.03 and 2,798.65 is: 3,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.86 : 4,776.03 = 2,798.65 : x
  2. Step 2: Convert to fraction form
    3,463.86/4,776.03 = 2,798.65/x
  3. Step 3: Cross multiply
    3,463.86x = 4,776.03 × 2,798.65
  4. Step 4: Simplify right side
    3,463.86x = 13,366,436.36
  5. Step 5: Solve for x
    x = 13,366,436.36/3,463.86
  6. Step 6: Final answer
    x = 3,858.83

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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.