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Finding the Fourth Proportional to 3,536.96, 5,300.41 and 2,605.19

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Solution

The fourth proportional to 3,536.96, 5,300.41 and 2,605.19 is: 3,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.96 : 5,300.41 = 2,605.19 : x
  2. Step 2: Convert to fraction form
    3,536.96/5,300.41 = 2,605.19/x
  3. Step 3: Cross multiply
    3,536.96x = 5,300.41 × 2,605.19
  4. Step 4: Simplify right side
    3,536.96x = 13,808,575.13
  5. Step 5: Solve for x
    x = 13,808,575.13/3,536.96
  6. Step 6: Final answer
    x = 3,904.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.