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Finding the Fourth Proportional to 3,714.78, 5,573.21 and 3,019.74

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Solution

The fourth proportional to 3,714.78, 5,573.21 and 3,019.74 is: 4,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.78 : 5,573.21 = 3,019.74 : x
  2. Step 2: Convert to fraction form
    3,714.78/5,573.21 = 3,019.74/x
  3. Step 3: Cross multiply
    3,714.78x = 5,573.21 × 3,019.74
  4. Step 4: Simplify right side
    3,714.78x = 16,829,645.17
  5. Step 5: Solve for x
    x = 16,829,645.17/3,714.78
  6. Step 6: Final answer
    x = 4,530.46

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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.