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Finding the Fourth Proportional to 3,593.12, 5,386.44 and 1,283

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Solution

The fourth proportional to 3,593.12, 5,386.44 and 1,283 is: 1,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.12 : 5,386.44 = 1,283 : x
  2. Step 2: Convert to fraction form
    3,593.12/5,386.44 = 1,283/x
  3. Step 3: Cross multiply
    3,593.12x = 5,386.44 × 1,283
  4. Step 4: Simplify right side
    3,593.12x = 6,910,802.52
  5. Step 5: Solve for x
    x = 6,910,802.52/3,593.12
  6. Step 6: Final answer
    x = 1,923.34

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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.