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Finding the Fourth Proportional to 4,654.84, 6,962.82 and 4,200.40

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Solution

The fourth proportional to 4,654.84, 6,962.82 and 4,200.40 is: 6,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.84 : 6,962.82 = 4,200.40 : x
  2. Step 2: Convert to fraction form
    4,654.84/6,962.82 = 4,200.40/x
  3. Step 3: Cross multiply
    4,654.84x = 6,962.82 × 4,200.40
  4. Step 4: Simplify right side
    4,654.84x = 29,246,629.13
  5. Step 5: Solve for x
    x = 29,246,629.13/4,654.84
  6. Step 6: Final answer
    x = 6,283.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.