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Finding the Fourth Proportional to 3,567.54, 4,923.57 and 2,242.26

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Solution

The fourth proportional to 3,567.54, 4,923.57 and 2,242.26 is: 3,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.54 : 4,923.57 = 2,242.26 : x
  2. Step 2: Convert to fraction form
    3,567.54/4,923.57 = 2,242.26/x
  3. Step 3: Cross multiply
    3,567.54x = 4,923.57 × 2,242.26
  4. Step 4: Simplify right side
    3,567.54x = 11,039,924.07
  5. Step 5: Solve for x
    x = 11,039,924.07/3,567.54
  6. Step 6: Final answer
    x = 3,094.55

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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.