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Finding the Fourth Proportional to 3,651.70, 5,477.52 and 1,460.93

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Solution

The fourth proportional to 3,651.70, 5,477.52 and 1,460.93 is: 2,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.70 : 5,477.52 = 1,460.93 : x
  2. Step 2: Convert to fraction form
    3,651.70/5,477.52 = 1,460.93/x
  3. Step 3: Cross multiply
    3,651.70x = 5,477.52 × 1,460.93
  4. Step 4: Simplify right side
    3,651.70x = 8,002,273.29
  5. Step 5: Solve for x
    x = 8,002,273.29/3,651.70
  6. Step 6: Final answer
    x = 2,191.39

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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.