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Finding the Fourth Proportional to 5,112.47, 7,657.46 and 4,224.91

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Solution

The fourth proportional to 5,112.47, 7,657.46 and 4,224.91 is: 6,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.47 : 7,657.46 = 4,224.91 : x
  2. Step 2: Convert to fraction form
    5,112.47/7,657.46 = 4,224.91/x
  3. Step 3: Cross multiply
    5,112.47x = 7,657.46 × 4,224.91
  4. Step 4: Simplify right side
    5,112.47x = 32,352,081.14
  5. Step 5: Solve for x
    x = 32,352,081.14/5,112.47
  6. Step 6: Final answer
    x = 6,328.08

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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.