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Finding the Fourth Proportional to 4,812.65, 6,641.93 and 2,923.82

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Solution

The fourth proportional to 4,812.65, 6,641.93 and 2,923.82 is: 4,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.65 : 6,641.93 = 2,923.82 : x
  2. Step 2: Convert to fraction form
    4,812.65/6,641.93 = 2,923.82/x
  3. Step 3: Cross multiply
    4,812.65x = 6,641.93 × 2,923.82
  4. Step 4: Simplify right side
    4,812.65x = 19,419,793.15
  5. Step 5: Solve for x
    x = 19,419,793.15/4,812.65
  6. Step 6: Final answer
    x = 4,035.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.