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Finding the Fourth Proportional to 3,572.99, 4,926.13 and 2,311.82

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Solution

The fourth proportional to 3,572.99, 4,926.13 and 2,311.82 is: 3,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.99 : 4,926.13 = 2,311.82 : x
  2. Step 2: Convert to fraction form
    3,572.99/4,926.13 = 2,311.82/x
  3. Step 3: Cross multiply
    3,572.99x = 4,926.13 × 2,311.82
  4. Step 4: Simplify right side
    3,572.99x = 11,388,325.86
  5. Step 5: Solve for x
    x = 11,388,325.86/3,572.99
  6. Step 6: Final answer
    x = 3,187.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.