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Finding the Fourth Proportional to 3,506.12, 4,824.09 and 3,032.48

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Solution

The fourth proportional to 3,506.12, 4,824.09 and 3,032.48 is: 4,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.12 : 4,824.09 = 3,032.48 : x
  2. Step 2: Convert to fraction form
    3,506.12/4,824.09 = 3,032.48/x
  3. Step 3: Cross multiply
    3,506.12x = 4,824.09 × 3,032.48
  4. Step 4: Simplify right side
    3,506.12x = 14,628,932.32
  5. Step 5: Solve for x
    x = 14,628,932.32/3,506.12
  6. Step 6: Final answer
    x = 4,172.41

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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.