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Finding the Fourth Proportional to 4,322.85, 6,484.68 and 1,857.21

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Solution

The fourth proportional to 4,322.85, 6,484.68 and 1,857.21 is: 2,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.85 : 6,484.68 = 1,857.21 : x
  2. Step 2: Convert to fraction form
    4,322.85/6,484.68 = 1,857.21/x
  3. Step 3: Cross multiply
    4,322.85x = 6,484.68 × 1,857.21
  4. Step 4: Simplify right side
    4,322.85x = 12,043,412.54
  5. Step 5: Solve for x
    x = 12,043,412.54/4,322.85
  6. Step 6: Final answer
    x = 2,785.99

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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.