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Finding the Fourth Proportional to 3,539.94, 5,303.25 and 2,074.74

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Solution

The fourth proportional to 3,539.94, 5,303.25 and 2,074.74 is: 3,108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.94 : 5,303.25 = 2,074.74 : x
  2. Step 2: Convert to fraction form
    3,539.94/5,303.25 = 2,074.74/x
  3. Step 3: Cross multiply
    3,539.94x = 5,303.25 × 2,074.74
  4. Step 4: Simplify right side
    3,539.94x = 11,002,864.91
  5. Step 5: Solve for x
    x = 11,002,864.91/3,539.94
  6. Step 6: Final answer
    x = 3,108.21

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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.