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Finding the Fourth Proportional to 5,268.16, 7,270 and 2,878.16

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Solution

The fourth proportional to 5,268.16, 7,270 and 2,878.16 is: 3,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.16 : 7,270 = 2,878.16 : x
  2. Step 2: Convert to fraction form
    5,268.16/7,270 = 2,878.16/x
  3. Step 3: Cross multiply
    5,268.16x = 7,270 × 2,878.16
  4. Step 4: Simplify right side
    5,268.16x = 20,924,223.20
  5. Step 5: Solve for x
    x = 20,924,223.20/5,268.16
  6. Step 6: Final answer
    x = 3,971.83

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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.