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Finding the Fourth Proportional to 3,699.50, 5,106.44 and 2,128.64

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Solution

The fourth proportional to 3,699.50, 5,106.44 and 2,128.64 is: 2,938.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.50 : 5,106.44 = 2,128.64 : x
  2. Step 2: Convert to fraction form
    3,699.50/5,106.44 = 2,128.64/x
  3. Step 3: Cross multiply
    3,699.50x = 5,106.44 × 2,128.64
  4. Step 4: Simplify right side
    3,699.50x = 10,869,752.23
  5. Step 5: Solve for x
    x = 10,869,752.23/3,699.50
  6. Step 6: Final answer
    x = 2,938.17

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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.