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Finding the Fourth Proportional to 3,959.76, 5,935.32 and 2,658

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Solution

The fourth proportional to 3,959.76, 5,935.32 and 2,658 is: 3,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.76 : 5,935.32 = 2,658 : x
  2. Step 2: Convert to fraction form
    3,959.76/5,935.32 = 2,658/x
  3. Step 3: Cross multiply
    3,959.76x = 5,935.32 × 2,658
  4. Step 4: Simplify right side
    3,959.76x = 15,776,080.56
  5. Step 5: Solve for x
    x = 15,776,080.56/3,959.76
  6. Step 6: Final answer
    x = 3,984.10

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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.