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Finding the Fourth Proportional to 4,353.75, 6,533.42 and 1,580.17

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Solution

The fourth proportional to 4,353.75, 6,533.42 and 1,580.17 is: 2,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.75 : 6,533.42 = 1,580.17 : x
  2. Step 2: Convert to fraction form
    4,353.75/6,533.42 = 1,580.17/x
  3. Step 3: Cross multiply
    4,353.75x = 6,533.42 × 1,580.17
  4. Step 4: Simplify right side
    4,353.75x = 10,323,906.38
  5. Step 5: Solve for x
    x = 10,323,906.38/4,353.75
  6. Step 6: Final answer
    x = 2,371.27

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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.