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Finding the Fourth Proportional to 3,710.70, 5,120.58 and 2,032.08

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Solution

The fourth proportional to 3,710.70, 5,120.58 and 2,032.08 is: 2,804.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.70 : 5,120.58 = 2,032.08 : x
  2. Step 2: Convert to fraction form
    3,710.70/5,120.58 = 2,032.08/x
  3. Step 3: Cross multiply
    3,710.70x = 5,120.58 × 2,032.08
  4. Step 4: Simplify right side
    3,710.70x = 10,405,428.21
  5. Step 5: Solve for x
    x = 10,405,428.21/3,710.70
  6. Step 6: Final answer
    x = 2,804.17

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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.