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Finding the Fourth Proportional to 5,712.46, 7,881.02 and 3,473.50

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Solution

The fourth proportional to 5,712.46, 7,881.02 and 3,473.50 is: 4,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.46 : 7,881.02 = 3,473.50 : x
  2. Step 2: Convert to fraction form
    5,712.46/7,881.02 = 3,473.50/x
  3. Step 3: Cross multiply
    5,712.46x = 7,881.02 × 3,473.50
  4. Step 4: Simplify right side
    5,712.46x = 27,374,722.97
  5. Step 5: Solve for x
    x = 27,374,722.97/5,712.46
  6. Step 6: Final answer
    x = 4,792.11

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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.