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Finding the Fourth Proportional to 5,774.59, 7,968.99 and 3,416.23

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Solution

The fourth proportional to 5,774.59, 7,968.99 and 3,416.23 is: 4,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.59 : 7,968.99 = 3,416.23 : x
  2. Step 2: Convert to fraction form
    5,774.59/7,968.99 = 3,416.23/x
  3. Step 3: Cross multiply
    5,774.59x = 7,968.99 × 3,416.23
  4. Step 4: Simplify right side
    5,774.59x = 27,223,902.71
  5. Step 5: Solve for x
    x = 27,223,902.71/5,774.59
  6. Step 6: Final answer
    x = 4,714.43

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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.