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Finding the Fourth Proportional to 4,641.68, 6,965.22 and 2,788.94

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Solution

The fourth proportional to 4,641.68, 6,965.22 and 2,788.94 is: 4,185.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.68 : 6,965.22 = 2,788.94 : x
  2. Step 2: Convert to fraction form
    4,641.68/6,965.22 = 2,788.94/x
  3. Step 3: Cross multiply
    4,641.68x = 6,965.22 × 2,788.94
  4. Step 4: Simplify right side
    4,641.68x = 19,425,580.67
  5. Step 5: Solve for x
    x = 19,425,580.67/4,641.68
  6. Step 6: Final answer
    x = 4,185.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.