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Finding the Fourth Proportional to 5,703.76, 8,553.24 and 2,416.72

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Solution

The fourth proportional to 5,703.76, 8,553.24 and 2,416.72 is: 3,624.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.76 : 8,553.24 = 2,416.72 : x
  2. Step 2: Convert to fraction form
    5,703.76/8,553.24 = 2,416.72/x
  3. Step 3: Cross multiply
    5,703.76x = 8,553.24 × 2,416.72
  4. Step 4: Simplify right side
    5,703.76x = 20,670,786.17
  5. Step 5: Solve for x
    x = 20,670,786.17/5,703.76
  6. Step 6: Final answer
    x = 3,624.06

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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.