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Finding the Fourth Proportional to 3,295.88, 4,938.86 and 1,445.24

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Solution

The fourth proportional to 3,295.88, 4,938.86 and 1,445.24 is: 2,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.88 : 4,938.86 = 1,445.24 : x
  2. Step 2: Convert to fraction form
    3,295.88/4,938.86 = 1,445.24/x
  3. Step 3: Cross multiply
    3,295.88x = 4,938.86 × 1,445.24
  4. Step 4: Simplify right side
    3,295.88x = 7,137,838.03
  5. Step 5: Solve for x
    x = 7,137,838.03/3,295.88
  6. Step 6: Final answer
    x = 2,165.69

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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.