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Finding the Fourth Proportional to 4,647.67, 6,962.23 and 2,797.77

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Solution

The fourth proportional to 4,647.67, 6,962.23 and 2,797.77 is: 4,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.67 : 6,962.23 = 2,797.77 : x
  2. Step 2: Convert to fraction form
    4,647.67/6,962.23 = 2,797.77/x
  3. Step 3: Cross multiply
    4,647.67x = 6,962.23 × 2,797.77
  4. Step 4: Simplify right side
    4,647.67x = 19,478,718.23
  5. Step 5: Solve for x
    x = 19,478,718.23/4,647.67
  6. Step 6: Final answer
    x = 4,191.07

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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.