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Finding the Fourth Proportional to 4,643.95, 6,954.03 and 3,866.35

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Solution

The fourth proportional to 4,643.95, 6,954.03 and 3,866.35 is: 5,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.95 : 6,954.03 = 3,866.35 : x
  2. Step 2: Convert to fraction form
    4,643.95/6,954.03 = 3,866.35/x
  3. Step 3: Cross multiply
    4,643.95x = 6,954.03 × 3,866.35
  4. Step 4: Simplify right side
    4,643.95x = 26,886,713.89
  5. Step 5: Solve for x
    x = 26,886,713.89/4,643.95
  6. Step 6: Final answer
    x = 5,789.62

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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.