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Finding the Fourth Proportional to 6,158.63, 8,498.90 and 3,364.13

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Solution

The fourth proportional to 6,158.63, 8,498.90 and 3,364.13 is: 4,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.63 : 8,498.90 = 3,364.13 : x
  2. Step 2: Convert to fraction form
    6,158.63/8,498.90 = 3,364.13/x
  3. Step 3: Cross multiply
    6,158.63x = 8,498.90 × 3,364.13
  4. Step 4: Simplify right side
    6,158.63x = 28,591,370.37
  5. Step 5: Solve for x
    x = 28,591,370.37/6,158.63
  6. Step 6: Final answer
    x = 4,642.49

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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.