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Finding the Fourth Proportional to 3,620.02, 5,430.84 and 1,154.98

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Solution

The fourth proportional to 3,620.02, 5,430.84 and 1,154.98 is: 1,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.02 : 5,430.84 = 1,154.98 : x
  2. Step 2: Convert to fraction form
    3,620.02/5,430.84 = 1,154.98/x
  3. Step 3: Cross multiply
    3,620.02x = 5,430.84 × 1,154.98
  4. Step 4: Simplify right side
    3,620.02x = 6,272,511.58
  5. Step 5: Solve for x
    x = 6,272,511.58/3,620.02
  6. Step 6: Final answer
    x = 1,732.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.