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Finding the Fourth Proportional to 3,915.19, 5,842.42 and 3,499.75

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Solution

The fourth proportional to 3,915.19, 5,842.42 and 3,499.75 is: 5,222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.19 : 5,842.42 = 3,499.75 : x
  2. Step 2: Convert to fraction form
    3,915.19/5,842.42 = 3,499.75/x
  3. Step 3: Cross multiply
    3,915.19x = 5,842.42 × 3,499.75
  4. Step 4: Simplify right side
    3,915.19x = 20,447,009.40
  5. Step 5: Solve for x
    x = 20,447,009.40/3,915.19
  6. Step 6: Final answer
    x = 5,222.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.