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Finding the Fourth Proportional to 5,965.66, 8,947.80 and 1,583.46

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Solution

The fourth proportional to 5,965.66, 8,947.80 and 1,583.46 is: 2,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.66 : 8,947.80 = 1,583.46 : x
  2. Step 2: Convert to fraction form
    5,965.66/8,947.80 = 1,583.46/x
  3. Step 3: Cross multiply
    5,965.66x = 8,947.80 × 1,583.46
  4. Step 4: Simplify right side
    5,965.66x = 14,168,464.98
  5. Step 5: Solve for x
    x = 14,168,464.98/5,965.66
  6. Step 6: Final answer
    x = 2,375.00

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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.