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Finding the Fourth Proportional to 4,321.87, 6,477.40 and 1,853.82

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Solution

The fourth proportional to 4,321.87, 6,477.40 and 1,853.82 is: 2,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.87 : 6,477.40 = 1,853.82 : x
  2. Step 2: Convert to fraction form
    4,321.87/6,477.40 = 1,853.82/x
  3. Step 3: Cross multiply
    4,321.87x = 6,477.40 × 1,853.82
  4. Step 4: Simplify right side
    4,321.87x = 12,007,933.67
  5. Step 5: Solve for x
    x = 12,007,933.67/4,321.87
  6. Step 6: Final answer
    x = 2,778.41

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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.