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Finding the Fourth Proportional to 4,365.37, 6,546.45 and 1,591.22

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Solution

The fourth proportional to 4,365.37, 6,546.45 and 1,591.22 is: 2,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.37 : 6,546.45 = 1,591.22 : x
  2. Step 2: Convert to fraction form
    4,365.37/6,546.45 = 1,591.22/x
  3. Step 3: Cross multiply
    4,365.37x = 6,546.45 × 1,591.22
  4. Step 4: Simplify right side
    4,365.37x = 10,416,829.78
  5. Step 5: Solve for x
    x = 10,416,829.78/4,365.37
  6. Step 6: Final answer
    x = 2,386.24

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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.