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Finding the Fourth Proportional to 6,434.56, 8,880.56 and 3,640

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Solution

The fourth proportional to 6,434.56, 8,880.56 and 3,640 is: 5,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.56 : 8,880.56 = 3,640 : x
  2. Step 2: Convert to fraction form
    6,434.56/8,880.56 = 3,640/x
  3. Step 3: Cross multiply
    6,434.56x = 8,880.56 × 3,640
  4. Step 4: Simplify right side
    6,434.56x = 32,325,238.40
  5. Step 5: Solve for x
    x = 32,325,238.40/6,434.56
  6. Step 6: Final answer
    x = 5,023.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.