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Finding the Fourth Proportional to 5,293.68, 7,941.33 and 1,398.39

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Solution

The fourth proportional to 5,293.68, 7,941.33 and 1,398.39 is: 2,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.68 : 7,941.33 = 1,398.39 : x
  2. Step 2: Convert to fraction form
    5,293.68/7,941.33 = 1,398.39/x
  3. Step 3: Cross multiply
    5,293.68x = 7,941.33 × 1,398.39
  4. Step 4: Simplify right side
    5,293.68x = 11,105,076.46
  5. Step 5: Solve for x
    x = 11,105,076.46/5,293.68
  6. Step 6: Final answer
    x = 2,097.80

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