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Finding the Fourth Proportional to 3,710.65, 5,120.75 and 2,032.02

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Solution

The fourth proportional to 3,710.65, 5,120.75 and 2,032.02 is: 2,804.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.65 : 5,120.75 = 2,032.02 : x
  2. Step 2: Convert to fraction form
    3,710.65/5,120.75 = 2,032.02/x
  3. Step 3: Cross multiply
    3,710.65x = 5,120.75 × 2,032.02
  4. Step 4: Simplify right side
    3,710.65x = 10,405,466.42
  5. Step 5: Solve for x
    x = 10,405,466.42/3,710.65
  6. Step 6: Final answer
    x = 2,804.22

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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.