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Finding the Fourth Proportional to 5,485.64, 8,224.32 and 1,785.66

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Solution

The fourth proportional to 5,485.64, 8,224.32 and 1,785.66 is: 2,677.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,485.64 : 8,224.32 = 1,785.66 : x
  2. Step 2: Convert to fraction form
    5,485.64/8,224.32 = 1,785.66/x
  3. Step 3: Cross multiply
    5,485.64x = 8,224.32 × 1,785.66
  4. Step 4: Simplify right side
    5,485.64x = 14,685,839.25
  5. Step 5: Solve for x
    x = 14,685,839.25/5,485.64
  6. Step 6: Final answer
    x = 2,677.14

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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.