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Finding the Fourth Proportional to 3,881.76, 5,822.56 and 960.08

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Solution

The fourth proportional to 3,881.76, 5,822.56 and 960.08 is: 1,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.76 : 5,822.56 = 960.08 : x
  2. Step 2: Convert to fraction form
    3,881.76/5,822.56 = 960.08/x
  3. Step 3: Cross multiply
    3,881.76x = 5,822.56 × 960.08
  4. Step 4: Simplify right side
    3,881.76x = 5,590,123.40
  5. Step 5: Solve for x
    x = 5,590,123.40/3,881.76
  6. Step 6: Final answer
    x = 1,440.10

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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.