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Finding the Fourth Proportional to 4,322.82, 6,483.32 and 1,858.80

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Solution

The fourth proportional to 4,322.82, 6,483.32 and 1,858.80 is: 2,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.82 : 6,483.32 = 1,858.80 : x
  2. Step 2: Convert to fraction form
    4,322.82/6,483.32 = 1,858.80/x
  3. Step 3: Cross multiply
    4,322.82x = 6,483.32 × 1,858.80
  4. Step 4: Simplify right side
    4,322.82x = 12,051,195.22
  5. Step 5: Solve for x
    x = 12,051,195.22/4,322.82
  6. Step 6: Final answer
    x = 2,787.81

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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.