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Finding the Fourth Proportional to 5,038.44, 6,955.34 and 3,447.65

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Solution

The fourth proportional to 5,038.44, 6,955.34 and 3,447.65 is: 4,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.44 : 6,955.34 = 3,447.65 : x
  2. Step 2: Convert to fraction form
    5,038.44/6,955.34 = 3,447.65/x
  3. Step 3: Cross multiply
    5,038.44x = 6,955.34 × 3,447.65
  4. Step 4: Simplify right side
    5,038.44x = 23,979,525.94
  5. Step 5: Solve for x
    x = 23,979,525.94/5,038.44
  6. Step 6: Final answer
    x = 4,759.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.