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Finding the Fourth Proportional to 3,492.42, 5,236.19 and 1,641.75

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Solution

The fourth proportional to 3,492.42, 5,236.19 and 1,641.75 is: 2,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.42 : 5,236.19 = 1,641.75 : x
  2. Step 2: Convert to fraction form
    3,492.42/5,236.19 = 1,641.75/x
  3. Step 3: Cross multiply
    3,492.42x = 5,236.19 × 1,641.75
  4. Step 4: Simplify right side
    3,492.42x = 8,596,506.72
  5. Step 5: Solve for x
    x = 8,596,506.72/3,492.42
  6. Step 6: Final answer
    x = 2,461.48

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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.