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Finding the Fourth Proportional to 5,482.83, 8,212.44 and 3,718.16

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Solution

The fourth proportional to 5,482.83, 8,212.44 and 3,718.16 is: 5,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.83 : 8,212.44 = 3,718.16 : x
  2. Step 2: Convert to fraction form
    5,482.83/8,212.44 = 3,718.16/x
  3. Step 3: Cross multiply
    5,482.83x = 8,212.44 × 3,718.16
  4. Step 4: Simplify right side
    5,482.83x = 30,535,165.91
  5. Step 5: Solve for x
    x = 30,535,165.91/5,482.83
  6. Step 6: Final answer
    x = 5,569.23

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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.