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Finding the Fourth Proportional to 3,965.63, 5,478.16 and 3,670.39

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Solution

The fourth proportional to 3,965.63, 5,478.16 and 3,670.39 is: 5,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.63 : 5,478.16 = 3,670.39 : x
  2. Step 2: Convert to fraction form
    3,965.63/5,478.16 = 3,670.39/x
  3. Step 3: Cross multiply
    3,965.63x = 5,478.16 × 3,670.39
  4. Step 4: Simplify right side
    3,965.63x = 20,106,960.81
  5. Step 5: Solve for x
    x = 20,106,960.81/3,965.63
  6. Step 6: Final answer
    x = 5,070.30

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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.