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Finding the Fourth Proportional to 4,574.53, 6,849.64 and 3,643.84

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Solution

The fourth proportional to 4,574.53, 6,849.64 and 3,643.84 is: 5,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.53 : 6,849.64 = 3,643.84 : x
  2. Step 2: Convert to fraction form
    4,574.53/6,849.64 = 3,643.84/x
  3. Step 3: Cross multiply
    4,574.53x = 6,849.64 × 3,643.84
  4. Step 4: Simplify right side
    4,574.53x = 24,958,992.22
  5. Step 5: Solve for x
    x = 24,958,992.22/4,574.53
  6. Step 6: Final answer
    x = 5,456.08

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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.