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Finding the Fourth Proportional to 5,094.89, 7,642.34 and 1,396.97

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Solution

The fourth proportional to 5,094.89, 7,642.34 and 1,396.97 is: 2,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.89 : 7,642.34 = 1,396.97 : x
  2. Step 2: Convert to fraction form
    5,094.89/7,642.34 = 1,396.97/x
  3. Step 3: Cross multiply
    5,094.89x = 7,642.34 × 1,396.97
  4. Step 4: Simplify right side
    5,094.89x = 10,676,074.51
  5. Step 5: Solve for x
    x = 10,676,074.51/5,094.89
  6. Step 6: Final answer
    x = 2,095.45

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Similar ratio
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1.5x scale

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.