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Finding the Fourth Proportional to 4,303.14, 5,940.42 and 2,886.32

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Solution

The fourth proportional to 4,303.14, 5,940.42 and 2,886.32 is: 3,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303.14 : 5,940.42 = 2,886.32 : x
  2. Step 2: Convert to fraction form
    4,303.14/5,940.42 = 2,886.32/x
  3. Step 3: Cross multiply
    4,303.14x = 5,940.42 × 2,886.32
  4. Step 4: Simplify right side
    4,303.14x = 17,145,953.05
  5. Step 5: Solve for x
    x = 17,145,953.05/4,303.14
  6. Step 6: Final answer
    x = 3,984.52

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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.