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Finding the Fourth Proportional to 5,796, 7,999.29 and 3,558.06

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Solution

The fourth proportional to 5,796, 7,999.29 and 3,558.06 is: 4,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796 : 7,999.29 = 3,558.06 : x
  2. Step 2: Convert to fraction form
    5,796/7,999.29 = 3,558.06/x
  3. Step 3: Cross multiply
    5,796x = 7,999.29 × 3,558.06
  4. Step 4: Simplify right side
    5,796x = 28,461,953.78
  5. Step 5: Solve for x
    x = 28,461,953.78/5,796
  6. Step 6: Final answer
    x = 4,910.62

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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.