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Finding the Fourth Proportional to 4,864.94, 7,296.60 and 1,577.56

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Solution

The fourth proportional to 4,864.94, 7,296.60 and 1,577.56 is: 2,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.94 : 7,296.60 = 1,577.56 : x
  2. Step 2: Convert to fraction form
    4,864.94/7,296.60 = 1,577.56/x
  3. Step 3: Cross multiply
    4,864.94x = 7,296.60 × 1,577.56
  4. Step 4: Simplify right side
    4,864.94x = 11,510,824.30
  5. Step 5: Solve for x
    x = 11,510,824.30/4,864.94
  6. Step 6: Final answer
    x = 2,366.08

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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.