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Finding the Fourth Proportional to 6,127.40, 9,185.70 and 3,659.60

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Solution

The fourth proportional to 6,127.40, 9,185.70 and 3,659.60 is: 5,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,127.40 : 9,185.70 = 3,659.60 : x
  2. Step 2: Convert to fraction form
    6,127.40/9,185.70 = 3,659.60/x
  3. Step 3: Cross multiply
    6,127.40x = 9,185.70 × 3,659.60
  4. Step 4: Simplify right side
    6,127.40x = 33,615,987.72
  5. Step 5: Solve for x
    x = 33,615,987.72/6,127.40
  6. Step 6: Final answer
    x = 5,486.17

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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.