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Finding the Fourth Proportional to 3,701.96, 5,108.50 and 2,130.08

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Solution

The fourth proportional to 3,701.96, 5,108.50 and 2,130.08 is: 2,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.96 : 5,108.50 = 2,130.08 : x
  2. Step 2: Convert to fraction form
    3,701.96/5,108.50 = 2,130.08/x
  3. Step 3: Cross multiply
    3,701.96x = 5,108.50 × 2,130.08
  4. Step 4: Simplify right side
    3,701.96x = 10,881,513.68
  5. Step 5: Solve for x
    x = 10,881,513.68/3,701.96
  6. Step 6: Final answer
    x = 2,939.39

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Why These Related Problems?

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