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Finding the Fourth Proportional to 5,798.74, 7,996.38 and 4,962.22

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Solution

The fourth proportional to 5,798.74, 7,996.38 and 4,962.22 is: 6,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.74 : 7,996.38 = 4,962.22 : x
  2. Step 2: Convert to fraction form
    5,798.74/7,996.38 = 4,962.22/x
  3. Step 3: Cross multiply
    5,798.74x = 7,996.38 × 4,962.22
  4. Step 4: Simplify right side
    5,798.74x = 39,679,796.76
  5. Step 5: Solve for x
    x = 39,679,796.76/5,798.74
  6. Step 6: Final answer
    x = 6,842.83

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1.5x scale

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.