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Finding the Fourth Proportional to 6,477.54, 8,940.09 and 3,646.19

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Solution

The fourth proportional to 6,477.54, 8,940.09 and 3,646.19 is: 5,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.54 : 8,940.09 = 3,646.19 : x
  2. Step 2: Convert to fraction form
    6,477.54/8,940.09 = 3,646.19/x
  3. Step 3: Cross multiply
    6,477.54x = 8,940.09 × 3,646.19
  4. Step 4: Simplify right side
    6,477.54x = 32,597,222.06
  5. Step 5: Solve for x
    x = 32,597,222.06/6,477.54
  6. Step 6: Final answer
    x = 5,032.35

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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.