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Finding the Fourth Proportional to 3,554.08, 4,904.32 and 1,982

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Solution

The fourth proportional to 3,554.08, 4,904.32 and 1,982 is: 2,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.08 : 4,904.32 = 1,982 : x
  2. Step 2: Convert to fraction form
    3,554.08/4,904.32 = 1,982/x
  3. Step 3: Cross multiply
    3,554.08x = 4,904.32 × 1,982
  4. Step 4: Simplify right side
    3,554.08x = 9,720,362.24
  5. Step 5: Solve for x
    x = 9,720,362.24/3,554.08
  6. Step 6: Final answer
    x = 2,734.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.