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Finding the Fourth Proportional to 5,812.32, 8,010.24 and 4,133.76

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Solution

The fourth proportional to 5,812.32, 8,010.24 and 4,133.76 is: 5,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.32 : 8,010.24 = 4,133.76 : x
  2. Step 2: Convert to fraction form
    5,812.32/8,010.24 = 4,133.76/x
  3. Step 3: Cross multiply
    5,812.32x = 8,010.24 × 4,133.76
  4. Step 4: Simplify right side
    5,812.32x = 33,112,409.70
  5. Step 5: Solve for x
    x = 33,112,409.70/5,812.32
  6. Step 6: Final answer
    x = 5,696.94

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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.