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Finding the Fourth Proportional to 5,774.84, 8,616.91 and 5,422.17

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Solution

The fourth proportional to 5,774.84, 8,616.91 and 5,422.17 is: 8,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.84 : 8,616.91 = 5,422.17 : x
  2. Step 2: Convert to fraction form
    5,774.84/8,616.91 = 5,422.17/x
  3. Step 3: Cross multiply
    5,774.84x = 8,616.91 × 5,422.17
  4. Step 4: Simplify right side
    5,774.84x = 46,722,337.34
  5. Step 5: Solve for x
    x = 46,722,337.34/5,774.84
  6. Step 6: Final answer
    x = 8,090.68

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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.