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Finding the Fourth Proportional to 4,562.51, 6,295.17 and 2,769.95

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Solution

The fourth proportional to 4,562.51, 6,295.17 and 2,769.95 is: 3,821.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.51 : 6,295.17 = 2,769.95 : x
  2. Step 2: Convert to fraction form
    4,562.51/6,295.17 = 2,769.95/x
  3. Step 3: Cross multiply
    4,562.51x = 6,295.17 × 2,769.95
  4. Step 4: Simplify right side
    4,562.51x = 17,437,274.67
  5. Step 5: Solve for x
    x = 17,437,274.67/4,562.51
  6. Step 6: Final answer
    x = 3,821.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.