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Finding the Fourth Proportional to 3,477.39, 5,216.15 and 1,285.62

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Solution

The fourth proportional to 3,477.39, 5,216.15 and 1,285.62 is: 1,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.39 : 5,216.15 = 1,285.62 : x
  2. Step 2: Convert to fraction form
    3,477.39/5,216.15 = 1,285.62/x
  3. Step 3: Cross multiply
    3,477.39x = 5,216.15 × 1,285.62
  4. Step 4: Simplify right side
    3,477.39x = 6,705,986.76
  5. Step 5: Solve for x
    x = 6,705,986.76/3,477.39
  6. Step 6: Final answer
    x = 1,928.45

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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.