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Finding the Fourth Proportional to 3,776.81, 5,674.79 and 2,390.80

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Solution

The fourth proportional to 3,776.81, 5,674.79 and 2,390.80 is: 3,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.81 : 5,674.79 = 2,390.80 : x
  2. Step 2: Convert to fraction form
    3,776.81/5,674.79 = 2,390.80/x
  3. Step 3: Cross multiply
    3,776.81x = 5,674.79 × 2,390.80
  4. Step 4: Simplify right side
    3,776.81x = 13,567,261.79
  5. Step 5: Solve for x
    x = 13,567,261.79/3,776.81
  6. Step 6: Final answer
    x = 3,592.25

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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.