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Finding the Fourth Proportional to 3,598.93, 5,390.00 and 2,770.63

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Solution

The fourth proportional to 3,598.93, 5,390.00 and 2,770.63 is: 4,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.93 : 5,390.00 = 2,770.63 : x
  2. Step 2: Convert to fraction form
    3,598.93/5,390.00 = 2,770.63/x
  3. Step 3: Cross multiply
    3,598.93x = 5,390.00 × 2,770.63
  4. Step 4: Simplify right side
    3,598.93x = 14,933,681.85
  5. Step 5: Solve for x
    x = 14,933,681.85/3,598.93
  6. Step 6: Final answer
    x = 4,149.48

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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.