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Finding the Fourth Proportional to 6,109.78, 8,430.02 and 3,591.69

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Solution

The fourth proportional to 6,109.78, 8,430.02 and 3,591.69 is: 4,955.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.78 : 8,430.02 = 3,591.69 : x
  2. Step 2: Convert to fraction form
    6,109.78/8,430.02 = 3,591.69/x
  3. Step 3: Cross multiply
    6,109.78x = 8,430.02 × 3,591.69
  4. Step 4: Simplify right side
    6,109.78x = 30,278,018.53
  5. Step 5: Solve for x
    x = 30,278,018.53/6,109.78
  6. Step 6: Final answer
    x = 4,955.66

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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.