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Finding the Fourth Proportional to 4,090.69, 6,137.03 and 1,317.63

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Solution

The fourth proportional to 4,090.69, 6,137.03 and 1,317.63 is: 1,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.69 : 6,137.03 = 1,317.63 : x
  2. Step 2: Convert to fraction form
    4,090.69/6,137.03 = 1,317.63/x
  3. Step 3: Cross multiply
    4,090.69x = 6,137.03 × 1,317.63
  4. Step 4: Simplify right side
    4,090.69x = 8,086,334.84
  5. Step 5: Solve for x
    x = 8,086,334.84/4,090.69
  6. Step 6: Final answer
    x = 1,976.77

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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.