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Finding the Fourth Proportional to 5,769.56, 7,966.28 and 3,534.50

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Solution

The fourth proportional to 5,769.56, 7,966.28 and 3,534.50 is: 4,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.56 : 7,966.28 = 3,534.50 : x
  2. Step 2: Convert to fraction form
    5,769.56/7,966.28 = 3,534.50/x
  3. Step 3: Cross multiply
    5,769.56x = 7,966.28 × 3,534.50
  4. Step 4: Simplify right side
    5,769.56x = 28,156,845.41
  5. Step 5: Solve for x
    x = 28,156,845.41/5,769.56
  6. Step 6: Final answer
    x = 4,880.24

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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.