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Finding the Fourth Proportional to 6,598.26, 9,105.24 and 3,613.50

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Solution

The fourth proportional to 6,598.26, 9,105.24 and 3,613.50 is: 4,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.26 : 9,105.24 = 3,613.50 : x
  2. Step 2: Convert to fraction form
    6,598.26/9,105.24 = 3,613.50/x
  3. Step 3: Cross multiply
    6,598.26x = 9,105.24 × 3,613.50
  4. Step 4: Simplify right side
    6,598.26x = 32,901,784.74
  5. Step 5: Solve for x
    x = 32,901,784.74/6,598.26
  6. Step 6: Final answer
    x = 4,986.43

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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.