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Finding the Fourth Proportional to 3,710.90, 5,121.06 and 2,032.32

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Solution

The fourth proportional to 3,710.90, 5,121.06 and 2,032.32 is: 2,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.90 : 5,121.06 = 2,032.32 : x
  2. Step 2: Convert to fraction form
    3,710.90/5,121.06 = 2,032.32/x
  3. Step 3: Cross multiply
    3,710.90x = 5,121.06 × 2,032.32
  4. Step 4: Simplify right side
    3,710.90x = 10,407,615.44
  5. Step 5: Solve for x
    x = 10,407,615.44/3,710.90
  6. Step 6: Final answer
    x = 2,804.60

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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.