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Finding the Fourth Proportional to 3,573.18, 5,335.34 and 3,200.58

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Solution

The fourth proportional to 3,573.18, 5,335.34 and 3,200.58 is: 4,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,573.18 : 5,335.34 = 3,200.58 : x
  2. Step 2: Convert to fraction form
    3,573.18/5,335.34 = 3,200.58/x
  3. Step 3: Cross multiply
    3,573.18x = 5,335.34 × 3,200.58
  4. Step 4: Simplify right side
    3,573.18x = 17,076,166.49
  5. Step 5: Solve for x
    x = 17,076,166.49/3,573.18
  6. Step 6: Final answer
    x = 4,778.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.