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Finding the Fourth Proportional to 5,277.72, 7,914.15 and 2,356.05

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Solution

The fourth proportional to 5,277.72, 7,914.15 and 2,356.05 is: 3,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.72 : 7,914.15 = 2,356.05 : x
  2. Step 2: Convert to fraction form
    5,277.72/7,914.15 = 2,356.05/x
  3. Step 3: Cross multiply
    5,277.72x = 7,914.15 × 2,356.05
  4. Step 4: Simplify right side
    5,277.72x = 18,646,133.11
  5. Step 5: Solve for x
    x = 18,646,133.11/5,277.72
  6. Step 6: Final answer
    x = 3,532.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.