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Finding the Fourth Proportional to 3,577.75, 5,364.80 and 1,497.19

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Solution

The fourth proportional to 3,577.75, 5,364.80 and 1,497.19 is: 2,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.75 : 5,364.80 = 1,497.19 : x
  2. Step 2: Convert to fraction form
    3,577.75/5,364.80 = 1,497.19/x
  3. Step 3: Cross multiply
    3,577.75x = 5,364.80 × 1,497.19
  4. Step 4: Simplify right side
    3,577.75x = 8,032,124.91
  5. Step 5: Solve for x
    x = 8,032,124.91/3,577.75
  6. Step 6: Final answer
    x = 2,245.02

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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.