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Finding the Fourth Proportional to 5,482.35, 8,210.54 and 3,143.63

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Solution

The fourth proportional to 5,482.35, 8,210.54 and 3,143.63 is: 4,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.35 : 8,210.54 = 3,143.63 : x
  2. Step 2: Convert to fraction form
    5,482.35/8,210.54 = 3,143.63/x
  3. Step 3: Cross multiply
    5,482.35x = 8,210.54 × 3,143.63
  4. Step 4: Simplify right side
    5,482.35x = 25,810,843.09
  5. Step 5: Solve for x
    x = 25,810,843.09/5,482.35
  6. Step 6: Final answer
    x = 4,707.99

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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.