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Finding the Fourth Proportional to 6,130.22, 8,461.44 and 3,613.79

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Solution

The fourth proportional to 6,130.22, 8,461.44 and 3,613.79 is: 4,988.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.22 : 8,461.44 = 3,613.79 : x
  2. Step 2: Convert to fraction form
    6,130.22/8,461.44 = 3,613.79/x
  3. Step 3: Cross multiply
    6,130.22x = 8,461.44 × 3,613.79
  4. Step 4: Simplify right side
    6,130.22x = 30,577,867.26
  5. Step 5: Solve for x
    x = 30,577,867.26/6,130.22
  6. Step 6: Final answer
    x = 4,988.05

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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.