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Finding the Fourth Proportional to 4,824.81, 6,657.16 and 2,937.38

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Solution

The fourth proportional to 4,824.81, 6,657.16 and 2,937.38 is: 4,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.81 : 6,657.16 = 2,937.38 : x
  2. Step 2: Convert to fraction form
    4,824.81/6,657.16 = 2,937.38/x
  3. Step 3: Cross multiply
    4,824.81x = 6,657.16 × 2,937.38
  4. Step 4: Simplify right side
    4,824.81x = 19,554,608.64
  5. Step 5: Solve for x
    x = 19,554,608.64/4,824.81
  6. Step 6: Final answer
    x = 4,052.93

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Why These Related Problems?

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