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Finding the Fourth Proportional to 5,773.30, 7,967.02 and 3,416.20

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Solution

The fourth proportional to 5,773.30, 7,967.02 and 3,416.20 is: 4,714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.30 : 7,967.02 = 3,416.20 : x
  2. Step 2: Convert to fraction form
    5,773.30/7,967.02 = 3,416.20/x
  3. Step 3: Cross multiply
    5,773.30x = 7,967.02 × 3,416.20
  4. Step 4: Simplify right side
    5,773.30x = 27,216,933.72
  5. Step 5: Solve for x
    x = 27,216,933.72/5,773.30
  6. Step 6: Final answer
    x = 4,714.28

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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.