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Finding the Fourth Proportional to 5,420.88, 7,476.84 and 4,094.64

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Solution

The fourth proportional to 5,420.88, 7,476.84 and 4,094.64 is: 5,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.88 : 7,476.84 = 4,094.64 : x
  2. Step 2: Convert to fraction form
    5,420.88/7,476.84 = 4,094.64/x
  3. Step 3: Cross multiply
    5,420.88x = 7,476.84 × 4,094.64
  4. Step 4: Simplify right side
    5,420.88x = 30,614,968.14
  5. Step 5: Solve for x
    x = 30,614,968.14/5,420.88
  6. Step 6: Final answer
    x = 5,647.60

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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.