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Finding the Fourth Proportional to 6,098.63, 8,410.99 and 4,837.69

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Solution

The fourth proportional to 6,098.63, 8,410.99 and 4,837.69 is: 6,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.63 : 8,410.99 = 4,837.69 : x
  2. Step 2: Convert to fraction form
    6,098.63/8,410.99 = 4,837.69/x
  3. Step 3: Cross multiply
    6,098.63x = 8,410.99 × 4,837.69
  4. Step 4: Simplify right side
    6,098.63x = 40,689,762.21
  5. Step 5: Solve for x
    x = 40,689,762.21/6,098.63
  6. Step 6: Final answer
    x = 6,671.95

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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.