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Finding the Fourth Proportional to 4,641.76, 6,965.34 and 1,722.10

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Solution

The fourth proportional to 4,641.76, 6,965.34 and 1,722.10 is: 2,584.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.76 : 6,965.34 = 1,722.10 : x
  2. Step 2: Convert to fraction form
    4,641.76/6,965.34 = 1,722.10/x
  3. Step 3: Cross multiply
    4,641.76x = 6,965.34 × 1,722.10
  4. Step 4: Simplify right side
    4,641.76x = 11,995,012.01
  5. Step 5: Solve for x
    x = 11,995,012.01/4,641.76
  6. Step 6: Final answer
    x = 2,584.15

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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.