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Finding the Fourth Proportional to 3,406.34, 4,700.60 and 1,914.22

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Solution

The fourth proportional to 3,406.34, 4,700.60 and 1,914.22 is: 2,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.34 : 4,700.60 = 1,914.22 : x
  2. Step 2: Convert to fraction form
    3,406.34/4,700.60 = 1,914.22/x
  3. Step 3: Cross multiply
    3,406.34x = 4,700.60 × 1,914.22
  4. Step 4: Simplify right side
    3,406.34x = 8,997,992.26
  5. Step 5: Solve for x
    x = 8,997,992.26/3,406.34
  6. Step 6: Final answer
    x = 2,641.54

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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.