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Finding the Fourth Proportional to 6,586.42, 9,089.18 and 3,937.36

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Solution

The fourth proportional to 6,586.42, 9,089.18 and 3,937.36 is: 5,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.42 : 9,089.18 = 3,937.36 : x
  2. Step 2: Convert to fraction form
    6,586.42/9,089.18 = 3,937.36/x
  3. Step 3: Cross multiply
    6,586.42x = 9,089.18 × 3,937.36
  4. Step 4: Simplify right side
    6,586.42x = 35,787,354.08
  5. Step 5: Solve for x
    x = 35,787,354.08/6,586.42
  6. Step 6: Final answer
    x = 5,433.51

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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.