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Finding the Fourth Proportional to 4,962.82, 6,848.82 and 2,838.64

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Solution

The fourth proportional to 4,962.82, 6,848.82 and 2,838.64 is: 3,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.82 : 6,848.82 = 2,838.64 : x
  2. Step 2: Convert to fraction form
    4,962.82/6,848.82 = 2,838.64/x
  3. Step 3: Cross multiply
    4,962.82x = 6,848.82 × 2,838.64
  4. Step 4: Simplify right side
    4,962.82x = 19,441,334.40
  5. Step 5: Solve for x
    x = 19,441,334.40/4,962.82
  6. Step 6: Final answer
    x = 3,917.40

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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.