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Finding the Fourth Proportional to 5,402.88, 8,104.20 and 4,670.28

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Solution

The fourth proportional to 5,402.88, 8,104.20 and 4,670.28 is: 7,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.88 : 8,104.20 = 4,670.28 : x
  2. Step 2: Convert to fraction form
    5,402.88/8,104.20 = 4,670.28/x
  3. Step 3: Cross multiply
    5,402.88x = 8,104.20 × 4,670.28
  4. Step 4: Simplify right side
    5,402.88x = 37,848,883.18
  5. Step 5: Solve for x
    x = 37,848,883.18/5,402.88
  6. Step 6: Final answer
    x = 7,005.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.