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Finding the Fourth Proportional to 5,797.14, 8,700.26 and 2,102.93

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Solution

The fourth proportional to 5,797.14, 8,700.26 and 2,102.93 is: 3,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.14 : 8,700.26 = 2,102.93 : x
  2. Step 2: Convert to fraction form
    5,797.14/8,700.26 = 2,102.93/x
  3. Step 3: Cross multiply
    5,797.14x = 8,700.26 × 2,102.93
  4. Step 4: Simplify right side
    5,797.14x = 18,296,037.76
  5. Step 5: Solve for x
    x = 18,296,037.76/5,797.14
  6. Step 6: Final answer
    x = 3,156.05

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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.