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Finding the Fourth Proportional to 4,410.99, 6,586.07 and 3,590.82

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Solution

The fourth proportional to 4,410.99, 6,586.07 and 3,590.82 is: 5,361.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410.99 : 6,586.07 = 3,590.82 : x
  2. Step 2: Convert to fraction form
    4,410.99/6,586.07 = 3,590.82/x
  3. Step 3: Cross multiply
    4,410.99x = 6,586.07 × 3,590.82
  4. Step 4: Simplify right side
    4,410.99x = 23,649,373.92
  5. Step 5: Solve for x
    x = 23,649,373.92/4,410.99
  6. Step 6: Final answer
    x = 5,361.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.