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Finding the Fourth Proportional to 7,271.98, 10,910.09 and 3,575.32

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Solution

The fourth proportional to 7,271.98, 10,910.09 and 3,575.32 is: 5,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.98 : 10,910.09 = 3,575.32 : x
  2. Step 2: Convert to fraction form
    7,271.98/10,910.09 = 3,575.32/x
  3. Step 3: Cross multiply
    7,271.98x = 10,910.09 × 3,575.32
  4. Step 4: Simplify right side
    7,271.98x = 39,007,045.10
  5. Step 5: Solve for x
    x = 39,007,045.10/7,271.98
  6. Step 6: Final answer
    x = 5,364.02

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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.