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Finding the Fourth Proportional to 3,887.28, 5,830.80 and 1,290.24

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Solution

The fourth proportional to 3,887.28, 5,830.80 and 1,290.24 is: 1,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.28 : 5,830.80 = 1,290.24 : x
  2. Step 2: Convert to fraction form
    3,887.28/5,830.80 = 1,290.24/x
  3. Step 3: Cross multiply
    3,887.28x = 5,830.80 × 1,290.24
  4. Step 4: Simplify right side
    3,887.28x = 7,523,131.39
  5. Step 5: Solve for x
    x = 7,523,131.39/3,887.28
  6. Step 6: Final answer
    x = 1,935.32

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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.