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Finding the Fourth Proportional to 4,965.82, 7,485.64 and 4,278.13

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Solution

The fourth proportional to 4,965.82, 7,485.64 and 4,278.13 is: 6,448.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.82 : 7,485.64 = 4,278.13 : x
  2. Step 2: Convert to fraction form
    4,965.82/7,485.64 = 4,278.13/x
  3. Step 3: Cross multiply
    4,965.82x = 7,485.64 × 4,278.13
  4. Step 4: Simplify right side
    4,965.82x = 32,024,511.64
  5. Step 5: Solve for x
    x = 32,024,511.64/4,965.82
  6. Step 6: Final answer
    x = 6,448.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.