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Finding the Fourth Proportional to 3,407.96, 4,703.24 and 1,895.86

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Solution

The fourth proportional to 3,407.96, 4,703.24 and 1,895.86 is: 2,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.96 : 4,703.24 = 1,895.86 : x
  2. Step 2: Convert to fraction form
    3,407.96/4,703.24 = 1,895.86/x
  3. Step 3: Cross multiply
    3,407.96x = 4,703.24 × 1,895.86
  4. Step 4: Simplify right side
    3,407.96x = 8,916,684.59
  5. Step 5: Solve for x
    x = 8,916,684.59/3,407.96
  6. Step 6: Final answer
    x = 2,616.43

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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.