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Finding the Fourth Proportional to 3,784.71, 5,222.95 and 2,292.76

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Solution

The fourth proportional to 3,784.71, 5,222.95 and 2,292.76 is: 3,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.71 : 5,222.95 = 2,292.76 : x
  2. Step 2: Convert to fraction form
    3,784.71/5,222.95 = 2,292.76/x
  3. Step 3: Cross multiply
    3,784.71x = 5,222.95 × 2,292.76
  4. Step 4: Simplify right side
    3,784.71x = 11,974,970.84
  5. Step 5: Solve for x
    x = 11,974,970.84/3,784.71
  6. Step 6: Final answer
    x = 3,164.04

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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.