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Finding the Fourth Proportional to 3,706.76, 5,112.48 and 2,587.34

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Solution

The fourth proportional to 3,706.76, 5,112.48 and 2,587.34 is: 3,568.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.76 : 5,112.48 = 2,587.34 : x
  2. Step 2: Convert to fraction form
    3,706.76/5,112.48 = 2,587.34/x
  3. Step 3: Cross multiply
    3,706.76x = 5,112.48 × 2,587.34
  4. Step 4: Simplify right side
    3,706.76x = 13,227,724.00
  5. Step 5: Solve for x
    x = 13,227,724.00/3,706.76
  6. Step 6: Final answer
    x = 3,568.54

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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.