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Finding the Fourth Proportional to 3,643.84, 5,029.05 and 2,653.62

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Solution

The fourth proportional to 3,643.84, 5,029.05 and 2,653.62 is: 3,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.84 : 5,029.05 = 2,653.62 : x
  2. Step 2: Convert to fraction form
    3,643.84/5,029.05 = 2,653.62/x
  3. Step 3: Cross multiply
    3,643.84x = 5,029.05 × 2,653.62
  4. Step 4: Simplify right side
    3,643.84x = 13,345,187.66
  5. Step 5: Solve for x
    x = 13,345,187.66/3,643.84
  6. Step 6: Final answer
    x = 3,662.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.