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Finding the Fourth Proportional to 5,666.74, 8,502.90 and 2,548.95

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Solution

The fourth proportional to 5,666.74, 8,502.90 and 2,548.95 is: 3,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.74 : 8,502.90 = 2,548.95 : x
  2. Step 2: Convert to fraction form
    5,666.74/8,502.90 = 2,548.95/x
  3. Step 3: Cross multiply
    5,666.74x = 8,502.90 × 2,548.95
  4. Step 4: Simplify right side
    5,666.74x = 21,673,466.96
  5. Step 5: Solve for x
    x = 21,673,466.96/5,666.74
  6. Step 6: Final answer
    x = 3,824.68

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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.