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Finding the Fourth Proportional to 3,710.55, 5,120.56 and 2,032.07

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Solution

The fourth proportional to 3,710.55, 5,120.56 and 2,032.07 is: 2,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.55 : 5,120.56 = 2,032.07 : x
  2. Step 2: Convert to fraction form
    3,710.55/5,120.56 = 2,032.07/x
  3. Step 3: Cross multiply
    3,710.55x = 5,120.56 × 2,032.07
  4. Step 4: Simplify right side
    3,710.55x = 10,405,313.30
  5. Step 5: Solve for x
    x = 10,405,313.30/3,710.55
  6. Step 6: Final answer
    x = 2,804.25

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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.