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Finding the Fourth Proportional to 4,642.44, 6,965.28 and 2,047.20

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Solution

The fourth proportional to 4,642.44, 6,965.28 and 2,047.20 is: 3,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.44 : 6,965.28 = 2,047.20 : x
  2. Step 2: Convert to fraction form
    4,642.44/6,965.28 = 2,047.20/x
  3. Step 3: Cross multiply
    4,642.44x = 6,965.28 × 2,047.20
  4. Step 4: Simplify right side
    4,642.44x = 14,259,321.22
  5. Step 5: Solve for x
    x = 14,259,321.22/4,642.44
  6. Step 6: Final answer
    x = 3,071.51

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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.