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Finding the Fourth Proportional to 5,646.82, 8,469.91 and 1,542.50

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Solution

The fourth proportional to 5,646.82, 8,469.91 and 1,542.50 is: 2,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.82 : 8,469.91 = 1,542.50 : x
  2. Step 2: Convert to fraction form
    5,646.82/8,469.91 = 1,542.50/x
  3. Step 3: Cross multiply
    5,646.82x = 8,469.91 × 1,542.50
  4. Step 4: Simplify right side
    5,646.82x = 13,064,836.18
  5. Step 5: Solve for x
    x = 13,064,836.18/5,646.82
  6. Step 6: Final answer
    x = 2,313.66

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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.