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Finding the Fourth Proportional to 3,710.78, 5,120.93 and 2,032.16

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Solution

The fourth proportional to 3,710.78, 5,120.93 and 2,032.16 is: 2,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.78 : 5,120.93 = 2,032.16 : x
  2. Step 2: Convert to fraction form
    3,710.78/5,120.93 = 2,032.16/x
  3. Step 3: Cross multiply
    3,710.78x = 5,120.93 × 2,032.16
  4. Step 4: Simplify right side
    3,710.78x = 10,406,528.58
  5. Step 5: Solve for x
    x = 10,406,528.58/3,710.78
  6. Step 6: Final answer
    x = 2,804.41

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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.