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Finding the Fourth Proportional to 4,840.74, 6,680.82 and 2,851.47

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Solution

The fourth proportional to 4,840.74, 6,680.82 and 2,851.47 is: 3,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.74 : 6,680.82 = 2,851.47 : x
  2. Step 2: Convert to fraction form
    4,840.74/6,680.82 = 2,851.47/x
  3. Step 3: Cross multiply
    4,840.74x = 6,680.82 × 2,851.47
  4. Step 4: Simplify right side
    4,840.74x = 19,050,157.81
  5. Step 5: Solve for x
    x = 19,050,157.81/4,840.74
  6. Step 6: Final answer
    x = 3,935.38

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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.