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Finding the Fourth Proportional to 5,715.50, 8,574.52 and 2,431.40

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Solution

The fourth proportional to 5,715.50, 8,574.52 and 2,431.40 is: 3,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.50 : 8,574.52 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    5,715.50/8,574.52 = 2,431.40/x
  3. Step 3: Cross multiply
    5,715.50x = 8,574.52 × 2,431.40
  4. Step 4: Simplify right side
    5,715.50x = 20,848,087.93
  5. Step 5: Solve for x
    x = 20,848,087.93/5,715.50
  6. Step 6: Final answer
    x = 3,647.64

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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.