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Finding the Fourth Proportional to 5,097.68, 7,647.32 and 2,176

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Solution

The fourth proportional to 5,097.68, 7,647.32 and 2,176 is: 3,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.68 : 7,647.32 = 2,176 : x
  2. Step 2: Convert to fraction form
    5,097.68/7,647.32 = 2,176/x
  3. Step 3: Cross multiply
    5,097.68x = 7,647.32 × 2,176
  4. Step 4: Simplify right side
    5,097.68x = 16,640,568.32
  5. Step 5: Solve for x
    x = 16,640,568.32/5,097.68
  6. Step 6: Final answer
    x = 3,264.34

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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.