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Finding the Fourth Proportional to 4,265.76, 5,887.50 and 4,078.96

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Solution

The fourth proportional to 4,265.76, 5,887.50 and 4,078.96 is: 5,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265.76 : 5,887.50 = 4,078.96 : x
  2. Step 2: Convert to fraction form
    4,265.76/5,887.50 = 4,078.96/x
  3. Step 3: Cross multiply
    4,265.76x = 5,887.50 × 4,078.96
  4. Step 4: Simplify right side
    4,265.76x = 24,014,877
  5. Step 5: Solve for x
    x = 24,014,877/4,265.76
  6. Step 6: Final answer
    x = 5,629.68

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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.