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Finding the Fourth Proportional to 5,720.14, 7,894.46 and 3,483.33

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Solution

The fourth proportional to 5,720.14, 7,894.46 and 3,483.33 is: 4,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.14 : 7,894.46 = 3,483.33 : x
  2. Step 2: Convert to fraction form
    5,720.14/7,894.46 = 3,483.33/x
  3. Step 3: Cross multiply
    5,720.14x = 7,894.46 × 3,483.33
  4. Step 4: Simplify right side
    5,720.14x = 27,499,010.66
  5. Step 5: Solve for x
    x = 27,499,010.66/5,720.14
  6. Step 6: Final answer
    x = 4,807.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.