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Finding the Fourth Proportional to 5,966.87, 8,935.91 and 3,494.34

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Solution

The fourth proportional to 5,966.87, 8,935.91 and 3,494.34 is: 5,233.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.87 : 8,935.91 = 3,494.34 : x
  2. Step 2: Convert to fraction form
    5,966.87/8,935.91 = 3,494.34/x
  3. Step 3: Cross multiply
    5,966.87x = 8,935.91 × 3,494.34
  4. Step 4: Simplify right side
    5,966.87x = 31,225,090.28
  5. Step 5: Solve for x
    x = 31,225,090.28/5,966.87
  6. Step 6: Final answer
    x = 5,233.08

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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.