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Finding the Fourth Proportional to 3,542.86, 5,316.12 and 1,594.66

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Solution

The fourth proportional to 3,542.86, 5,316.12 and 1,594.66 is: 2,392.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.86 : 5,316.12 = 1,594.66 : x
  2. Step 2: Convert to fraction form
    3,542.86/5,316.12 = 1,594.66/x
  3. Step 3: Cross multiply
    3,542.86x = 5,316.12 × 1,594.66
  4. Step 4: Simplify right side
    3,542.86x = 8,477,403.92
  5. Step 5: Solve for x
    x = 8,477,403.92/3,542.86
  6. Step 6: Final answer
    x = 2,392.81

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