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Finding the Fourth Proportional to 4,865.99, 7,294.46 and 2,366.64

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Solution

The fourth proportional to 4,865.99, 7,294.46 and 2,366.64 is: 3,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.99 : 7,294.46 = 2,366.64 : x
  2. Step 2: Convert to fraction form
    4,865.99/7,294.46 = 2,366.64/x
  3. Step 3: Cross multiply
    4,865.99x = 7,294.46 × 2,366.64
  4. Step 4: Simplify right side
    4,865.99x = 17,263,348.98
  5. Step 5: Solve for x
    x = 17,263,348.98/4,865.99
  6. Step 6: Final answer
    x = 3,547.76

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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.