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Finding the Fourth Proportional to 3,718, 5,577.32 and 982

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Solution

The fourth proportional to 3,718, 5,577.32 and 982 is: 1,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718 : 5,577.32 = 982 : x
  2. Step 2: Convert to fraction form
    3,718/5,577.32 = 982/x
  3. Step 3: Cross multiply
    3,718x = 5,577.32 × 982
  4. Step 4: Simplify right side
    3,718x = 5,476,928.24
  5. Step 5: Solve for x
    x = 5,476,928.24/3,718
  6. Step 6: Final answer
    x = 1,473.08

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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.