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Finding the Fourth Proportional to 4,913.19, 7,369.95 and 1,952.19

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Solution

The fourth proportional to 4,913.19, 7,369.95 and 1,952.19 is: 2,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.19 : 7,369.95 = 1,952.19 : x
  2. Step 2: Convert to fraction form
    4,913.19/7,369.95 = 1,952.19/x
  3. Step 3: Cross multiply
    4,913.19x = 7,369.95 × 1,952.19
  4. Step 4: Simplify right side
    4,913.19x = 14,387,542.69
  5. Step 5: Solve for x
    x = 14,387,542.69/4,913.19
  6. Step 6: Final answer
    x = 2,928.35

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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.