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Finding the Fourth Proportional to 5,492.64, 8,238.56 and 1,596.84

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Solution

The fourth proportional to 5,492.64, 8,238.56 and 1,596.84 is: 2,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.64 : 8,238.56 = 1,596.84 : x
  2. Step 2: Convert to fraction form
    5,492.64/8,238.56 = 1,596.84/x
  3. Step 3: Cross multiply
    5,492.64x = 8,238.56 × 1,596.84
  4. Step 4: Simplify right side
    5,492.64x = 13,155,662.15
  5. Step 5: Solve for x
    x = 13,155,662.15/5,492.64
  6. Step 6: Final answer
    x = 2,395.14

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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.