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Finding the Fourth Proportional to 4,957.85, 7,434.41 and 2,878.50

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Solution

The fourth proportional to 4,957.85, 7,434.41 and 2,878.50 is: 4,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.85 : 7,434.41 = 2,878.50 : x
  2. Step 2: Convert to fraction form
    4,957.85/7,434.41 = 2,878.50/x
  3. Step 3: Cross multiply
    4,957.85x = 7,434.41 × 2,878.50
  4. Step 4: Simplify right side
    4,957.85x = 21,399,949.19
  5. Step 5: Solve for x
    x = 21,399,949.19/4,957.85
  6. Step 6: Final answer
    x = 4,316.38

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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.