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Finding the Fourth Proportional to 4,643.84, 6,403.02 and 3,801.44

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Solution

The fourth proportional to 4,643.84, 6,403.02 and 3,801.44 is: 5,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.84 : 6,403.02 = 3,801.44 : x
  2. Step 2: Convert to fraction form
    4,643.84/6,403.02 = 3,801.44/x
  3. Step 3: Cross multiply
    4,643.84x = 6,403.02 × 3,801.44
  4. Step 4: Simplify right side
    4,643.84x = 24,340,698.10
  5. Step 5: Solve for x
    x = 24,340,698.10/4,643.84
  6. Step 6: Final answer
    x = 5,241.50

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1.5x scale

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.