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Finding the Fourth Proportional to 5,806.40, 8,716.16 and 2,346.08

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Solution

The fourth proportional to 5,806.40, 8,716.16 and 2,346.08 is: 3,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.40 : 8,716.16 = 2,346.08 : x
  2. Step 2: Convert to fraction form
    5,806.40/8,716.16 = 2,346.08/x
  3. Step 3: Cross multiply
    5,806.40x = 8,716.16 × 2,346.08
  4. Step 4: Simplify right side
    5,806.40x = 20,448,808.65
  5. Step 5: Solve for x
    x = 20,448,808.65/5,806.40
  6. Step 6: Final answer
    x = 3,521.77

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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.