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Finding the Fourth Proportional to 5,285.76, 7,294.20 and 3,047.60

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Solution

The fourth proportional to 5,285.76, 7,294.20 and 3,047.60 is: 4,205.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,285.76 : 7,294.20 = 3,047.60 : x
  2. Step 2: Convert to fraction form
    5,285.76/7,294.20 = 3,047.60/x
  3. Step 3: Cross multiply
    5,285.76x = 7,294.20 × 3,047.60
  4. Step 4: Simplify right side
    5,285.76x = 22,229,803.92
  5. Step 5: Solve for x
    x = 22,229,803.92/5,285.76
  6. Step 6: Final answer
    x = 4,205.60

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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.