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Finding the Fourth Proportional to 4,584.53, 6,320.53 and 3,643.45

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Solution

The fourth proportional to 4,584.53, 6,320.53 and 3,643.45 is: 5,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.53 : 6,320.53 = 3,643.45 : x
  2. Step 2: Convert to fraction form
    4,584.53/6,320.53 = 3,643.45/x
  3. Step 3: Cross multiply
    4,584.53x = 6,320.53 × 3,643.45
  4. Step 4: Simplify right side
    4,584.53x = 23,028,523.78
  5. Step 5: Solve for x
    x = 23,028,523.78/4,584.53
  6. Step 6: Final answer
    x = 5,023.09

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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.