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Finding the Fourth Proportional to 3,503.58, 5,258.79 and 2,731.98

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Solution

The fourth proportional to 3,503.58, 5,258.79 and 2,731.98 is: 4,100.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.58 : 5,258.79 = 2,731.98 : x
  2. Step 2: Convert to fraction form
    3,503.58/5,258.79 = 2,731.98/x
  3. Step 3: Cross multiply
    3,503.58x = 5,258.79 × 2,731.98
  4. Step 4: Simplify right side
    3,503.58x = 14,366,909.10
  5. Step 5: Solve for x
    x = 14,366,909.10/3,503.58
  6. Step 6: Final answer
    x = 4,100.64

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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.