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Finding the Fourth Proportional to 6,592.96, 9,098.33 and 3,608.81

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Solution

The fourth proportional to 6,592.96, 9,098.33 and 3,608.81 is: 4,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.96 : 9,098.33 = 3,608.81 : x
  2. Step 2: Convert to fraction form
    6,592.96/9,098.33 = 3,608.81/x
  3. Step 3: Cross multiply
    6,592.96x = 9,098.33 × 3,608.81
  4. Step 4: Simplify right side
    6,592.96x = 32,834,186.35
  5. Step 5: Solve for x
    x = 32,834,186.35/6,592.96
  6. Step 6: Final answer
    x = 4,980.19

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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.