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Finding the Fourth Proportional to 5,492.12, 7,563.92 and 4,745.84

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Solution

The fourth proportional to 5,492.12, 7,563.92 and 4,745.84 is: 6,536.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.12 : 7,563.92 = 4,745.84 : x
  2. Step 2: Convert to fraction form
    5,492.12/7,563.92 = 4,745.84/x
  3. Step 3: Cross multiply
    5,492.12x = 7,563.92 × 4,745.84
  4. Step 4: Simplify right side
    5,492.12x = 35,897,154.09
  5. Step 5: Solve for x
    x = 35,897,154.09/5,492.12
  6. Step 6: Final answer
    x = 6,536.12

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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.