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Finding the Fourth Proportional to 5,606.00, 8,409 and 3,108.71

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Solution

The fourth proportional to 5,606.00, 8,409 and 3,108.71 is: 4,663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.00 : 8,409 = 3,108.71 : x
  2. Step 2: Convert to fraction form
    5,606.00/8,409 = 3,108.71/x
  3. Step 3: Cross multiply
    5,606.00x = 8,409 × 3,108.71
  4. Step 4: Simplify right side
    5,606.00x = 26,141,100.35
  5. Step 5: Solve for x
    x = 26,141,100.35/5,606.00
  6. Step 6: Final answer
    x = 4,663.06

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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.