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Finding the Fourth Proportional to 5,497.02, 7,580.16 and 3,820.32

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Solution

The fourth proportional to 5,497.02, 7,580.16 and 3,820.32 is: 5,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.02 : 7,580.16 = 3,820.32 : x
  2. Step 2: Convert to fraction form
    5,497.02/7,580.16 = 3,820.32/x
  3. Step 3: Cross multiply
    5,497.02x = 7,580.16 × 3,820.32
  4. Step 4: Simplify right side
    5,497.02x = 28,958,636.85
  5. Step 5: Solve for x
    x = 28,958,636.85/5,497.02
  6. Step 6: Final answer
    x = 5,268.06

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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.