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Finding the Fourth Proportional to 4,662.87, 6,995.51 and 1,741.20

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Solution

The fourth proportional to 4,662.87, 6,995.51 and 1,741.20 is: 2,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.87 : 6,995.51 = 1,741.20 : x
  2. Step 2: Convert to fraction form
    4,662.87/6,995.51 = 1,741.20/x
  3. Step 3: Cross multiply
    4,662.87x = 6,995.51 × 1,741.20
  4. Step 4: Simplify right side
    4,662.87x = 12,180,582.01
  5. Step 5: Solve for x
    x = 12,180,582.01/4,662.87
  6. Step 6: Final answer
    x = 2,612.25

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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.