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Finding the Fourth Proportional to 5,596.81, 8,412.64 and 3,530.09

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Solution

The fourth proportional to 5,596.81, 8,412.64 and 3,530.09 is: 5,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.81 : 8,412.64 = 3,530.09 : x
  2. Step 2: Convert to fraction form
    5,596.81/8,412.64 = 3,530.09/x
  3. Step 3: Cross multiply
    5,596.81x = 8,412.64 × 3,530.09
  4. Step 4: Simplify right side
    5,596.81x = 29,697,376.34
  5. Step 5: Solve for x
    x = 29,697,376.34/5,596.81
  6. Step 6: Final answer
    x = 5,306.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.