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Finding the Fourth Proportional to 5,572.64, 8,356.72 and 2,285.60

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Solution

The fourth proportional to 5,572.64, 8,356.72 and 2,285.60 is: 3,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.64 : 8,356.72 = 2,285.60 : x
  2. Step 2: Convert to fraction form
    5,572.64/8,356.72 = 2,285.60/x
  3. Step 3: Cross multiply
    5,572.64x = 8,356.72 × 2,285.60
  4. Step 4: Simplify right side
    5,572.64x = 19,100,119.23
  5. Step 5: Solve for x
    x = 19,100,119.23/5,572.64
  6. Step 6: Final answer
    x = 3,427.48

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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.