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Finding the Fourth Proportional to 5,663.34, 8,494.92 and 1,767.96

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Solution

The fourth proportional to 5,663.34, 8,494.92 and 1,767.96 is: 2,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.34 : 8,494.92 = 1,767.96 : x
  2. Step 2: Convert to fraction form
    5,663.34/8,494.92 = 1,767.96/x
  3. Step 3: Cross multiply
    5,663.34x = 8,494.92 × 1,767.96
  4. Step 4: Simplify right side
    5,663.34x = 15,018,678.76
  5. Step 5: Solve for x
    x = 15,018,678.76/5,663.34
  6. Step 6: Final answer
    x = 2,651.91

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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.