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Finding the Fourth Proportional to 4,643.88, 6,968.52 and 2,011.25

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Solution

The fourth proportional to 4,643.88, 6,968.52 and 2,011.25 is: 3,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.88 : 6,968.52 = 2,011.25 : x
  2. Step 2: Convert to fraction form
    4,643.88/6,968.52 = 2,011.25/x
  3. Step 3: Cross multiply
    4,643.88x = 6,968.52 × 2,011.25
  4. Step 4: Simplify right side
    4,643.88x = 14,015,401.01
  5. Step 5: Solve for x
    x = 14,015,401.01/4,643.88
  6. Step 6: Final answer
    x = 3,018.04

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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.