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Finding the Fourth Proportional to 4,061.32, 6,091.98 and 983.32

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Solution

The fourth proportional to 4,061.32, 6,091.98 and 983.32 is: 1,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.32 : 6,091.98 = 983.32 : x
  2. Step 2: Convert to fraction form
    4,061.32/6,091.98 = 983.32/x
  3. Step 3: Cross multiply
    4,061.32x = 6,091.98 × 983.32
  4. Step 4: Simplify right side
    4,061.32x = 5,990,330.40
  5. Step 5: Solve for x
    x = 5,990,330.40/4,061.32
  6. Step 6: Final answer
    x = 1,474.97

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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.