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Finding the Fourth Proportional to 4,780.71, 6,597.83 and 2,892.76

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Solution

The fourth proportional to 4,780.71, 6,597.83 and 2,892.76 is: 3,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.71 : 6,597.83 = 2,892.76 : x
  2. Step 2: Convert to fraction form
    4,780.71/6,597.83 = 2,892.76/x
  3. Step 3: Cross multiply
    4,780.71x = 6,597.83 × 2,892.76
  4. Step 4: Simplify right side
    4,780.71x = 19,085,938.71
  5. Step 5: Solve for x
    x = 19,085,938.71/4,780.71
  6. Step 6: Final answer
    x = 3,992.28

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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.