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Finding the Fourth Proportional to 3,512.37, 5,269.77 and 1,564.32

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Solution

The fourth proportional to 3,512.37, 5,269.77 and 1,564.32 is: 2,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.37 : 5,269.77 = 1,564.32 : x
  2. Step 2: Convert to fraction form
    3,512.37/5,269.77 = 1,564.32/x
  3. Step 3: Cross multiply
    3,512.37x = 5,269.77 × 1,564.32
  4. Step 4: Simplify right side
    3,512.37x = 8,243,606.61
  5. Step 5: Solve for x
    x = 8,243,606.61/3,512.37
  6. Step 6: Final answer
    x = 2,347.02

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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.