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Finding the Fourth Proportional to 3,648.06, 5,032.58 and 3,506.60

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Solution

The fourth proportional to 3,648.06, 5,032.58 and 3,506.60 is: 4,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.06 : 5,032.58 = 3,506.60 : x
  2. Step 2: Convert to fraction form
    3,648.06/5,032.58 = 3,506.60/x
  3. Step 3: Cross multiply
    3,648.06x = 5,032.58 × 3,506.60
  4. Step 4: Simplify right side
    3,648.06x = 17,647,240.08
  5. Step 5: Solve for x
    x = 17,647,240.08/3,648.06
  6. Step 6: Final answer
    x = 4,837.43

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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.