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Finding the Fourth Proportional to 4,292.99, 6,404.95 and 3,825.20

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Solution

The fourth proportional to 4,292.99, 6,404.95 and 3,825.20 is: 5,707.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.99 : 6,404.95 = 3,825.20 : x
  2. Step 2: Convert to fraction form
    4,292.99/6,404.95 = 3,825.20/x
  3. Step 3: Cross multiply
    4,292.99x = 6,404.95 × 3,825.20
  4. Step 4: Simplify right side
    4,292.99x = 24,500,214.74
  5. Step 5: Solve for x
    x = 24,500,214.74/4,292.99
  6. Step 6: Final answer
    x = 5,707.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.