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Finding the Fourth Proportional to 4,535, 6,803.48 and 1,414.94

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Solution

The fourth proportional to 4,535, 6,803.48 and 1,414.94 is: 2,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535 : 6,803.48 = 1,414.94 : x
  2. Step 2: Convert to fraction form
    4,535/6,803.48 = 1,414.94/x
  3. Step 3: Cross multiply
    4,535x = 6,803.48 × 1,414.94
  4. Step 4: Simplify right side
    4,535x = 9,626,515.99
  5. Step 5: Solve for x
    x = 9,626,515.99/4,535
  6. Step 6: Final answer
    x = 2,122.72

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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.