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Finding the Fourth Proportional to 5,243.64, 7,860.58 and 2,776.38

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Solution

The fourth proportional to 5,243.64, 7,860.58 and 2,776.38 is: 4,161.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.64 : 7,860.58 = 2,776.38 : x
  2. Step 2: Convert to fraction form
    5,243.64/7,860.58 = 2,776.38/x
  3. Step 3: Cross multiply
    5,243.64x = 7,860.58 × 2,776.38
  4. Step 4: Simplify right side
    5,243.64x = 21,823,957.10
  5. Step 5: Solve for x
    x = 21,823,957.10/5,243.64
  6. Step 6: Final answer
    x = 4,161.99

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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.