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Finding the Fourth Proportional to 5,411.99, 8,101.54 and 3,465.56

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Solution

The fourth proportional to 5,411.99, 8,101.54 and 3,465.56 is: 5,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.99 : 8,101.54 = 3,465.56 : x
  2. Step 2: Convert to fraction form
    5,411.99/8,101.54 = 3,465.56/x
  3. Step 3: Cross multiply
    5,411.99x = 8,101.54 × 3,465.56
  4. Step 4: Simplify right side
    5,411.99x = 28,076,372.96
  5. Step 5: Solve for x
    x = 28,076,372.96/5,411.99
  6. Step 6: Final answer
    x = 5,187.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.