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Finding the Fourth Proportional to 6,164.48, 8,508.29 and 3,613.91

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Solution

The fourth proportional to 6,164.48, 8,508.29 and 3,613.91 is: 4,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.48 : 8,508.29 = 3,613.91 : x
  2. Step 2: Convert to fraction form
    6,164.48/8,508.29 = 3,613.91/x
  3. Step 3: Cross multiply
    6,164.48x = 8,508.29 × 3,613.91
  4. Step 4: Simplify right side
    6,164.48x = 30,748,176.24
  5. Step 5: Solve for x
    x = 30,748,176.24/6,164.48
  6. Step 6: Final answer
    x = 4,987.96

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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.