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Finding the Fourth Proportional to 6,586.54, 9,089.31 and 3,602.38

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Solution

The fourth proportional to 6,586.54, 9,089.31 and 3,602.38 is: 4,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.54 : 9,089.31 = 3,602.38 : x
  2. Step 2: Convert to fraction form
    6,586.54/9,089.31 = 3,602.38/x
  3. Step 3: Cross multiply
    6,586.54x = 9,089.31 × 3,602.38
  4. Step 4: Simplify right side
    6,586.54x = 32,743,148.56
  5. Step 5: Solve for x
    x = 32,743,148.56/6,586.54
  6. Step 6: Final answer
    x = 4,971.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.