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Finding the Fourth Proportional to 4,135.41, 6,197.04 and 3,090.51

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Solution

The fourth proportional to 4,135.41, 6,197.04 and 3,090.51 is: 4,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.41 : 6,197.04 = 3,090.51 : x
  2. Step 2: Convert to fraction form
    4,135.41/6,197.04 = 3,090.51/x
  3. Step 3: Cross multiply
    4,135.41x = 6,197.04 × 3,090.51
  4. Step 4: Simplify right side
    4,135.41x = 19,152,014.09
  5. Step 5: Solve for x
    x = 19,152,014.09/4,135.41
  6. Step 6: Final answer
    x = 4,631.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.