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Finding the Fourth Proportional to 5,897.77, 8,139.02 and 3,380.10

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Solution

The fourth proportional to 5,897.77, 8,139.02 and 3,380.10 is: 4,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.77 : 8,139.02 = 3,380.10 : x
  2. Step 2: Convert to fraction form
    5,897.77/8,139.02 = 3,380.10/x
  3. Step 3: Cross multiply
    5,897.77x = 8,139.02 × 3,380.10
  4. Step 4: Simplify right side
    5,897.77x = 27,510,737.01
  5. Step 5: Solve for x
    x = 27,510,737.01/5,897.77
  6. Step 6: Final answer
    x = 4,664.60

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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.