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Finding the Fourth Proportional to 5,772.84, 7,968.12 and 3,416.28

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Solution

The fourth proportional to 5,772.84, 7,968.12 and 3,416.28 is: 4,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.84 : 7,968.12 = 3,416.28 : x
  2. Step 2: Convert to fraction form
    5,772.84/7,968.12 = 3,416.28/x
  3. Step 3: Cross multiply
    5,772.84x = 7,968.12 × 3,416.28
  4. Step 4: Simplify right side
    5,772.84x = 27,221,328.99
  5. Step 5: Solve for x
    x = 27,221,328.99/5,772.84
  6. Step 6: Final answer
    x = 4,715.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.