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Finding the Fourth Proportional to 3,477.74, 5,216.63 and 1,012.62

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Solution

The fourth proportional to 3,477.74, 5,216.63 and 1,012.62 is: 1,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.74 : 5,216.63 = 1,012.62 : x
  2. Step 2: Convert to fraction form
    3,477.74/5,216.63 = 1,012.62/x
  3. Step 3: Cross multiply
    3,477.74x = 5,216.63 × 1,012.62
  4. Step 4: Simplify right side
    3,477.74x = 5,282,478.37
  5. Step 5: Solve for x
    x = 5,282,478.37/3,477.74
  6. Step 6: Final answer
    x = 1,518.94

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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.