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Finding the Fourth Proportional to 4,901.61, 7,338.38 and 4,591.23

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Solution

The fourth proportional to 4,901.61, 7,338.38 and 4,591.23 is: 6,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,901.61 : 7,338.38 = 4,591.23 : x
  2. Step 2: Convert to fraction form
    4,901.61/7,338.38 = 4,591.23/x
  3. Step 3: Cross multiply
    4,901.61x = 7,338.38 × 4,591.23
  4. Step 4: Simplify right side
    4,901.61x = 33,692,167.45
  5. Step 5: Solve for x
    x = 33,692,167.45/4,901.61
  6. Step 6: Final answer
    x = 6,873.69

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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.