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Finding the Fourth Proportional to 5,706.16, 8,553.64 and 2,934.16

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Solution

The fourth proportional to 5,706.16, 8,553.64 and 2,934.16 is: 4,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.16 : 8,553.64 = 2,934.16 : x
  2. Step 2: Convert to fraction form
    5,706.16/8,553.64 = 2,934.16/x
  3. Step 3: Cross multiply
    5,706.16x = 8,553.64 × 2,934.16
  4. Step 4: Simplify right side
    5,706.16x = 25,097,748.34
  5. Step 5: Solve for x
    x = 25,097,748.34/5,706.16
  6. Step 6: Final answer
    x = 4,398.36

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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.