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Finding the Fourth Proportional to 5,140, 7,093.20 and 3,278.08

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Solution

The fourth proportional to 5,140, 7,093.20 and 3,278.08 is: 4,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140 : 7,093.20 = 3,278.08 : x
  2. Step 2: Convert to fraction form
    5,140/7,093.20 = 3,278.08/x
  3. Step 3: Cross multiply
    5,140x = 7,093.20 × 3,278.08
  4. Step 4: Simplify right side
    5,140x = 23,252,077.06
  5. Step 5: Solve for x
    x = 23,252,077.06/5,140
  6. Step 6: Final answer
    x = 4,523.75

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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.