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Finding the Fourth Proportional to 3,406.10, 4,700.29 and 1,914.10

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Solution

The fourth proportional to 3,406.10, 4,700.29 and 1,914.10 is: 2,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.10 : 4,700.29 = 1,914.10 : x
  2. Step 2: Convert to fraction form
    3,406.10/4,700.29 = 1,914.10/x
  3. Step 3: Cross multiply
    3,406.10x = 4,700.29 × 1,914.10
  4. Step 4: Simplify right side
    3,406.10x = 8,996,825.09
  5. Step 5: Solve for x
    x = 8,996,825.09/3,406.10
  6. Step 6: Final answer
    x = 2,641.39

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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.