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Finding the Fourth Proportional to 4,128.36, 6,214.71 and 3,705

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Solution

The fourth proportional to 4,128.36, 6,214.71 and 3,705 is: 5,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.36 : 6,214.71 = 3,705 : x
  2. Step 2: Convert to fraction form
    4,128.36/6,214.71 = 3,705/x
  3. Step 3: Cross multiply
    4,128.36x = 6,214.71 × 3,705
  4. Step 4: Simplify right side
    4,128.36x = 23,025,500.55
  5. Step 5: Solve for x
    x = 23,025,500.55/4,128.36
  6. Step 6: Final answer
    x = 5,577.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.