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Finding the Fourth Proportional to 4,620.24, 6,926.11 and 1,846.40

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Solution

The fourth proportional to 4,620.24, 6,926.11 and 1,846.40 is: 2,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,620.24 : 6,926.11 = 1,846.40 : x
  2. Step 2: Convert to fraction form
    4,620.24/6,926.11 = 1,846.40/x
  3. Step 3: Cross multiply
    4,620.24x = 6,926.11 × 1,846.40
  4. Step 4: Simplify right side
    4,620.24x = 12,788,330.26
  5. Step 5: Solve for x
    x = 12,788,330.26/4,620.24
  6. Step 6: Final answer
    x = 2,767.89

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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.