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Finding the Fourth Proportional to 6,098.30, 8,415.64 and 3,445.71

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Solution

The fourth proportional to 6,098.30, 8,415.64 and 3,445.71 is: 4,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.30 : 8,415.64 = 3,445.71 : x
  2. Step 2: Convert to fraction form
    6,098.30/8,415.64 = 3,445.71/x
  3. Step 3: Cross multiply
    6,098.30x = 8,415.64 × 3,445.71
  4. Step 4: Simplify right side
    6,098.30x = 28,997,846.29
  5. Step 5: Solve for x
    x = 28,997,846.29/6,098.30
  6. Step 6: Final answer
    x = 4,755.07

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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.