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Finding the Fourth Proportional to 6,586.66, 9,089.72 and 3,602.69

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Solution

The fourth proportional to 6,586.66, 9,089.72 and 3,602.69 is: 4,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.66 : 9,089.72 = 3,602.69 : x
  2. Step 2: Convert to fraction form
    6,586.66/9,089.72 = 3,602.69/x
  3. Step 3: Cross multiply
    6,586.66x = 9,089.72 × 3,602.69
  4. Step 4: Simplify right side
    6,586.66x = 32,747,447.75
  5. Step 5: Solve for x
    x = 32,747,447.75/6,586.66
  6. Step 6: Final answer
    x = 4,971.78

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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.