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Finding the Fourth Proportional to 4,643.28, 6,954.08 and 4,032

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Solution

The fourth proportional to 4,643.28, 6,954.08 and 4,032 is: 6,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.28 : 6,954.08 = 4,032 : x
  2. Step 2: Convert to fraction form
    4,643.28/6,954.08 = 4,032/x
  3. Step 3: Cross multiply
    4,643.28x = 6,954.08 × 4,032
  4. Step 4: Simplify right side
    4,643.28x = 28,038,850.56
  5. Step 5: Solve for x
    x = 28,038,850.56/4,643.28
  6. Step 6: Final answer
    x = 6,038.59

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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.