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Finding the Fourth Proportional to 3,577.96, 4,935.09 and 3,457.54

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Solution

The fourth proportional to 3,577.96, 4,935.09 and 3,457.54 is: 4,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.96 : 4,935.09 = 3,457.54 : x
  2. Step 2: Convert to fraction form
    3,577.96/4,935.09 = 3,457.54/x
  3. Step 3: Cross multiply
    3,577.96x = 4,935.09 × 3,457.54
  4. Step 4: Simplify right side
    3,577.96x = 17,063,271.08
  5. Step 5: Solve for x
    x = 17,063,271.08/3,577.96
  6. Step 6: Final answer
    x = 4,768.99

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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.