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Finding the Fourth Proportional to 4,131.46, 5,706.06 and 2,802.86

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Solution

The fourth proportional to 4,131.46, 5,706.06 and 2,802.86 is: 3,871.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131.46 : 5,706.06 = 2,802.86 : x
  2. Step 2: Convert to fraction form
    4,131.46/5,706.06 = 2,802.86/x
  3. Step 3: Cross multiply
    4,131.46x = 5,706.06 × 2,802.86
  4. Step 4: Simplify right side
    4,131.46x = 15,993,258.80
  5. Step 5: Solve for x
    x = 15,993,258.80/4,131.46
  6. Step 6: Final answer
    x = 3,871.10

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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.