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Finding the Fourth Proportional to 5,897.86, 8,142.40 and 3,911.10

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Solution

The fourth proportional to 5,897.86, 8,142.40 and 3,911.10 is: 5,399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.86 : 8,142.40 = 3,911.10 : x
  2. Step 2: Convert to fraction form
    5,897.86/8,142.40 = 3,911.10/x
  3. Step 3: Cross multiply
    5,897.86x = 8,142.40 × 3,911.10
  4. Step 4: Simplify right side
    5,897.86x = 31,845,714.99
  5. Step 5: Solve for x
    x = 31,845,714.99/5,897.86
  6. Step 6: Final answer
    x = 5,399.54

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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.