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Finding the Fourth Proportional to 5,184.63, 7,154.78 and 2,826.77

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Solution

The fourth proportional to 5,184.63, 7,154.78 and 2,826.77 is: 3,900.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.63 : 7,154.78 = 2,826.77 : x
  2. Step 2: Convert to fraction form
    5,184.63/7,154.78 = 2,826.77/x
  3. Step 3: Cross multiply
    5,184.63x = 7,154.78 × 2,826.77
  4. Step 4: Simplify right side
    5,184.63x = 20,224,917.46
  5. Step 5: Solve for x
    x = 20,224,917.46/5,184.63
  6. Step 6: Final answer
    x = 3,900.94

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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.