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Finding the Fourth Proportional to 5,262.15, 7,893.23 and 1,564.41

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Solution

The fourth proportional to 5,262.15, 7,893.23 and 1,564.41 is: 2,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.15 : 7,893.23 = 1,564.41 : x
  2. Step 2: Convert to fraction form
    5,262.15/7,893.23 = 1,564.41/x
  3. Step 3: Cross multiply
    5,262.15x = 7,893.23 × 1,564.41
  4. Step 4: Simplify right side
    5,262.15x = 12,348,278.52
  5. Step 5: Solve for x
    x = 12,348,278.52/5,262.15
  6. Step 6: Final answer
    x = 2,346.62

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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.