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Finding the Fourth Proportional to 3,460.57, 5,190.86 and 1,924.81

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Solution

The fourth proportional to 3,460.57, 5,190.86 and 1,924.81 is: 2,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.57 : 5,190.86 = 1,924.81 : x
  2. Step 2: Convert to fraction form
    3,460.57/5,190.86 = 1,924.81/x
  3. Step 3: Cross multiply
    3,460.57x = 5,190.86 × 1,924.81
  4. Step 4: Simplify right side
    3,460.57x = 9,991,411.07
  5. Step 5: Solve for x
    x = 9,991,411.07/3,460.57
  6. Step 6: Final answer
    x = 2,887.22

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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.