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Finding the Fourth Proportional to 5,385.24, 7,431.02 and 3,026.88

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Solution

The fourth proportional to 5,385.24, 7,431.02 and 3,026.88 is: 4,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.24 : 7,431.02 = 3,026.88 : x
  2. Step 2: Convert to fraction form
    5,385.24/7,431.02 = 3,026.88/x
  3. Step 3: Cross multiply
    5,385.24x = 7,431.02 × 3,026.88
  4. Step 4: Simplify right side
    5,385.24x = 22,492,805.82
  5. Step 5: Solve for x
    x = 22,492,805.82/5,385.24
  6. Step 6: Final answer
    x = 4,176.75

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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.