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Finding the Fourth Proportional to 3,536.51, 4,869.23 and 3,208.46

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Solution

The fourth proportional to 3,536.51, 4,869.23 and 3,208.46 is: 4,417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.51 : 4,869.23 = 3,208.46 : x
  2. Step 2: Convert to fraction form
    3,536.51/4,869.23 = 3,208.46/x
  3. Step 3: Cross multiply
    3,536.51x = 4,869.23 × 3,208.46
  4. Step 4: Simplify right side
    3,536.51x = 15,622,689.30
  5. Step 5: Solve for x
    x = 15,622,689.30/3,536.51
  6. Step 6: Final answer
    x = 4,417.55

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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.