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Finding the Fourth Proportional to 5,038.41, 6,953.19 and 3,448.38

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Solution

The fourth proportional to 5,038.41, 6,953.19 and 3,448.38 is: 4,758.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.41 : 6,953.19 = 3,448.38 : x
  2. Step 2: Convert to fraction form
    5,038.41/6,953.19 = 3,448.38/x
  3. Step 3: Cross multiply
    5,038.41x = 6,953.19 × 3,448.38
  4. Step 4: Simplify right side
    5,038.41x = 23,977,241.33
  5. Step 5: Solve for x
    x = 23,977,241.33/5,038.41
  6. Step 6: Final answer
    x = 4,758.89

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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.