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Finding the Fourth Proportional to 4,641.66, 6,954.37 and 3,866.63

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Solution

The fourth proportional to 4,641.66, 6,954.37 and 3,866.63 is: 5,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.66 : 6,954.37 = 3,866.63 : x
  2. Step 2: Convert to fraction form
    4,641.66/6,954.37 = 3,866.63/x
  3. Step 3: Cross multiply
    4,641.66x = 6,954.37 × 3,866.63
  4. Step 4: Simplify right side
    4,641.66x = 26,889,931.23
  5. Step 5: Solve for x
    x = 26,889,931.23/4,641.66
  6. Step 6: Final answer
    x = 5,793.17

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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.