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Finding the Fourth Proportional to 5,870.68, 8,806.32 and 3,403.62

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Solution

The fourth proportional to 5,870.68, 8,806.32 and 3,403.62 is: 5,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.68 : 8,806.32 = 3,403.62 : x
  2. Step 2: Convert to fraction form
    5,870.68/8,806.32 = 3,403.62/x
  3. Step 3: Cross multiply
    5,870.68x = 8,806.32 × 3,403.62
  4. Step 4: Simplify right side
    5,870.68x = 29,973,366.88
  5. Step 5: Solve for x
    x = 29,973,366.88/5,870.68
  6. Step 6: Final answer
    x = 5,105.61

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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.