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Finding the Fourth Proportional to 3,420.86, 5,124.33 and 2,544.30

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Solution

The fourth proportional to 3,420.86, 5,124.33 and 2,544.30 is: 3,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.86 : 5,124.33 = 2,544.30 : x
  2. Step 2: Convert to fraction form
    3,420.86/5,124.33 = 2,544.30/x
  3. Step 3: Cross multiply
    3,420.86x = 5,124.33 × 2,544.30
  4. Step 4: Simplify right side
    3,420.86x = 13,037,832.82
  5. Step 5: Solve for x
    x = 13,037,832.82/3,420.86
  6. Step 6: Final answer
    x = 3,811.28

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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.