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Finding the Fourth Proportional to 3,389.96, 4,643.10 and 3,190.70

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Solution

The fourth proportional to 3,389.96, 4,643.10 and 3,190.70 is: 4,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.96 : 4,643.10 = 3,190.70 : x
  2. Step 2: Convert to fraction form
    3,389.96/4,643.10 = 3,190.70/x
  3. Step 3: Cross multiply
    3,389.96x = 4,643.10 × 3,190.70
  4. Step 4: Simplify right side
    3,389.96x = 14,814,739.17
  5. Step 5: Solve for x
    x = 14,814,739.17/3,389.96
  6. Step 6: Final answer
    x = 4,370.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.