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Finding the Fourth Proportional to 4,847.66, 7,272.53 and 1,561.01

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Solution

The fourth proportional to 4,847.66, 7,272.53 and 1,561.01 is: 2,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.66 : 7,272.53 = 1,561.01 : x
  2. Step 2: Convert to fraction form
    4,847.66/7,272.53 = 1,561.01/x
  3. Step 3: Cross multiply
    4,847.66x = 7,272.53 × 1,561.01
  4. Step 4: Simplify right side
    4,847.66x = 11,352,493.20
  5. Step 5: Solve for x
    x = 11,352,493.20/4,847.66
  6. Step 6: Final answer
    x = 2,341.85

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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.