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Finding the Fourth Proportional to 4,003.16, 5,523.59 and 3,407.88

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Solution

The fourth proportional to 4,003.16, 5,523.59 and 3,407.88 is: 4,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,003.16 : 5,523.59 = 3,407.88 : x
  2. Step 2: Convert to fraction form
    4,003.16/5,523.59 = 3,407.88/x
  3. Step 3: Cross multiply
    4,003.16x = 5,523.59 × 3,407.88
  4. Step 4: Simplify right side
    4,003.16x = 18,823,714.85
  5. Step 5: Solve for x
    x = 18,823,714.85/4,003.16
  6. Step 6: Final answer
    x = 4,702.22

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