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Finding the Fourth Proportional to 5,263.68, 7,895.36 and 1,976.64

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Solution

The fourth proportional to 5,263.68, 7,895.36 and 1,976.64 is: 2,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.68 : 7,895.36 = 1,976.64 : x
  2. Step 2: Convert to fraction form
    5,263.68/7,895.36 = 1,976.64/x
  3. Step 3: Cross multiply
    5,263.68x = 7,895.36 × 1,976.64
  4. Step 4: Simplify right side
    5,263.68x = 15,606,284.39
  5. Step 5: Solve for x
    x = 15,606,284.39/5,263.68
  6. Step 6: Final answer
    x = 2,964.90

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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.