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Finding the Fourth Proportional to 6,104.50, 8,424.21 and 3,310

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Solution

The fourth proportional to 6,104.50, 8,424.21 and 3,310 is: 4,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.50 : 8,424.21 = 3,310 : x
  2. Step 2: Convert to fraction form
    6,104.50/8,424.21 = 3,310/x
  3. Step 3: Cross multiply
    6,104.50x = 8,424.21 × 3,310
  4. Step 4: Simplify right side
    6,104.50x = 27,884,135.10
  5. Step 5: Solve for x
    x = 27,884,135.10/6,104.50
  6. Step 6: Final answer
    x = 4,567.80

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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.