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Finding the Fourth Proportional to 3,897.76, 5,845.86 and 1,431.74

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Solution

The fourth proportional to 3,897.76, 5,845.86 and 1,431.74 is: 2,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.76 : 5,845.86 = 1,431.74 : x
  2. Step 2: Convert to fraction form
    3,897.76/5,845.86 = 1,431.74/x
  3. Step 3: Cross multiply
    3,897.76x = 5,845.86 × 1,431.74
  4. Step 4: Simplify right side
    3,897.76x = 8,369,751.60
  5. Step 5: Solve for x
    x = 8,369,751.60/3,897.76
  6. Step 6: Final answer
    x = 2,147.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.