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Finding the Fourth Proportional to 5,193.36, 7,798.68 and 2,886.48

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Solution

The fourth proportional to 5,193.36, 7,798.68 and 2,886.48 is: 4,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.36 : 7,798.68 = 2,886.48 : x
  2. Step 2: Convert to fraction form
    5,193.36/7,798.68 = 2,886.48/x
  3. Step 3: Cross multiply
    5,193.36x = 7,798.68 × 2,886.48
  4. Step 4: Simplify right side
    5,193.36x = 22,510,733.85
  5. Step 5: Solve for x
    x = 22,510,733.85/5,193.36
  6. Step 6: Final answer
    x = 4,334.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.