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Finding the Fourth Proportional to 5,293.16, 7,938.96 and 1,397.84

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Solution

The fourth proportional to 5,293.16, 7,938.96 and 1,397.84 is: 2,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.16 : 7,938.96 = 1,397.84 : x
  2. Step 2: Convert to fraction form
    5,293.16/7,938.96 = 1,397.84/x
  3. Step 3: Cross multiply
    5,293.16x = 7,938.96 × 1,397.84
  4. Step 4: Simplify right side
    5,293.16x = 11,097,395.85
  5. Step 5: Solve for x
    x = 11,097,395.85/5,293.16
  6. Step 6: Final answer
    x = 2,096.55

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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.