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Finding the Fourth Proportional to 6,586.71, 9,090.27 and 3,602.97

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Solution

The fourth proportional to 6,586.71, 9,090.27 and 3,602.97 is: 4,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.71 : 9,090.27 = 3,602.97 : x
  2. Step 2: Convert to fraction form
    6,586.71/9,090.27 = 3,602.97/x
  3. Step 3: Cross multiply
    6,586.71x = 9,090.27 × 3,602.97
  4. Step 4: Simplify right side
    6,586.71x = 32,751,970.10
  5. Step 5: Solve for x
    x = 32,751,970.10/6,586.71
  6. Step 6: Final answer
    x = 4,972.43

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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.