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Finding the Fourth Proportional to 5,492.32, 8,239.68 and 1,597.02

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Solution

The fourth proportional to 5,492.32, 8,239.68 and 1,597.02 is: 2,395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.32 : 8,239.68 = 1,597.02 : x
  2. Step 2: Convert to fraction form
    5,492.32/8,239.68 = 1,597.02/x
  3. Step 3: Cross multiply
    5,492.32x = 8,239.68 × 1,597.02
  4. Step 4: Simplify right side
    5,492.32x = 13,158,933.75
  5. Step 5: Solve for x
    x = 13,158,933.75/5,492.32
  6. Step 6: Final answer
    x = 2,395.88

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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.