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Finding the Fourth Proportional to 5,789.22, 7,984.89 and 4,994.07

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Solution

The fourth proportional to 5,789.22, 7,984.89 and 4,994.07 is: 6,888.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.22 : 7,984.89 = 4,994.07 : x
  2. Step 2: Convert to fraction form
    5,789.22/7,984.89 = 4,994.07/x
  3. Step 3: Cross multiply
    5,789.22x = 7,984.89 × 4,994.07
  4. Step 4: Simplify right side
    5,789.22x = 39,877,099.60
  5. Step 5: Solve for x
    x = 39,877,099.60/5,789.22
  6. Step 6: Final answer
    x = 6,888.16

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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.