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Finding the Fourth Proportional to 6,098.20, 8,390.46 and 5,709.40

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Solution

The fourth proportional to 6,098.20, 8,390.46 and 5,709.40 is: 7,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.20 : 8,390.46 = 5,709.40 : x
  2. Step 2: Convert to fraction form
    6,098.20/8,390.46 = 5,709.40/x
  3. Step 3: Cross multiply
    6,098.20x = 8,390.46 × 5,709.40
  4. Step 4: Simplify right side
    6,098.20x = 47,904,492.32
  5. Step 5: Solve for x
    x = 47,904,492.32/6,098.20
  6. Step 6: Final answer
    x = 7,855.51

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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.