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Finding the Fourth Proportional to 6,591.83, 9,887.83 and 2,430.23

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Solution

The fourth proportional to 6,591.83, 9,887.83 and 2,430.23 is: 3,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.83 : 9,887.83 = 2,430.23 : x
  2. Step 2: Convert to fraction form
    6,591.83/9,887.83 = 2,430.23/x
  3. Step 3: Cross multiply
    6,591.83x = 9,887.83 × 2,430.23
  4. Step 4: Simplify right side
    6,591.83x = 24,029,645.59
  5. Step 5: Solve for x
    x = 24,029,645.59/6,591.83
  6. Step 6: Final answer
    x = 3,645.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.