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Finding the Fourth Proportional to 4,275.84, 5,900.55 and 2,780.94

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Solution

The fourth proportional to 4,275.84, 5,900.55 and 2,780.94 is: 3,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.84 : 5,900.55 = 2,780.94 : x
  2. Step 2: Convert to fraction form
    4,275.84/5,900.55 = 2,780.94/x
  3. Step 3: Cross multiply
    4,275.84x = 5,900.55 × 2,780.94
  4. Step 4: Simplify right side
    4,275.84x = 16,409,046.01
  5. Step 5: Solve for x
    x = 16,409,046.01/4,275.84
  6. Step 6: Final answer
    x = 3,837.62

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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.