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Finding the Fourth Proportional to 5,152.45, 7,729.28 and 1,641.23

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Solution

The fourth proportional to 5,152.45, 7,729.28 and 1,641.23 is: 2,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.45 : 7,729.28 = 1,641.23 : x
  2. Step 2: Convert to fraction form
    5,152.45/7,729.28 = 1,641.23/x
  3. Step 3: Cross multiply
    5,152.45x = 7,729.28 × 1,641.23
  4. Step 4: Simplify right side
    5,152.45x = 12,685,543.49
  5. Step 5: Solve for x
    x = 12,685,543.49/5,152.45
  6. Step 6: Final answer
    x = 2,462.04

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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.