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Finding the Fourth Proportional to 3,881.58, 5,820.40 and 1,689.31

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Solution

The fourth proportional to 3,881.58, 5,820.40 and 1,689.31 is: 2,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.58 : 5,820.40 = 1,689.31 : x
  2. Step 2: Convert to fraction form
    3,881.58/5,820.40 = 1,689.31/x
  3. Step 3: Cross multiply
    3,881.58x = 5,820.40 × 1,689.31
  4. Step 4: Simplify right side
    3,881.58x = 9,832,459.92
  5. Step 5: Solve for x
    x = 9,832,459.92/3,881.58
  6. Step 6: Final answer
    x = 2,533.11

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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.