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Finding the Fourth Proportional to 5,990.13, 8,269.34 and 4,642.77

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Solution

The fourth proportional to 5,990.13, 8,269.34 and 4,642.77 is: 6,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,990.13 : 8,269.34 = 4,642.77 : x
  2. Step 2: Convert to fraction form
    5,990.13/8,269.34 = 4,642.77/x
  3. Step 3: Cross multiply
    5,990.13x = 8,269.34 × 4,642.77
  4. Step 4: Simplify right side
    5,990.13x = 38,392,620.46
  5. Step 5: Solve for x
    x = 38,392,620.46/5,990.13
  6. Step 6: Final answer
    x = 6,409.31

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