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Finding the Fourth Proportional to 4,334.99, 6,499.87 and 2,109.42

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Solution

The fourth proportional to 4,334.99, 6,499.87 and 2,109.42 is: 3,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.99 : 6,499.87 = 2,109.42 : x
  2. Step 2: Convert to fraction form
    4,334.99/6,499.87 = 2,109.42/x
  3. Step 3: Cross multiply
    4,334.99x = 6,499.87 × 2,109.42
  4. Step 4: Simplify right side
    4,334.99x = 13,710,950.50
  5. Step 5: Solve for x
    x = 13,710,950.50/4,334.99
  6. Step 6: Final answer
    x = 3,162.86

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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.