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Finding the Fourth Proportional to 5,762.84, 8,643.17 and 2,064.92

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Solution

The fourth proportional to 5,762.84, 8,643.17 and 2,064.92 is: 3,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.84 : 8,643.17 = 2,064.92 : x
  2. Step 2: Convert to fraction form
    5,762.84/8,643.17 = 2,064.92/x
  3. Step 3: Cross multiply
    5,762.84x = 8,643.17 × 2,064.92
  4. Step 4: Simplify right side
    5,762.84x = 17,847,454.60
  5. Step 5: Solve for x
    x = 17,847,454.60/5,762.84
  6. Step 6: Final answer
    x = 3,096.99

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1.5x scale

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.