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Finding the Fourth Proportional to 3,653.84, 5,483.90 and 1,464.14

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Solution

The fourth proportional to 3,653.84, 5,483.90 and 1,464.14 is: 2,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.84 : 5,483.90 = 1,464.14 : x
  2. Step 2: Convert to fraction form
    3,653.84/5,483.90 = 1,464.14/x
  3. Step 3: Cross multiply
    3,653.84x = 5,483.90 × 1,464.14
  4. Step 4: Simplify right side
    3,653.84x = 8,029,214.72
  5. Step 5: Solve for x
    x = 8,029,214.72/3,653.84
  6. Step 6: Final answer
    x = 2,197.47

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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.