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Finding the Fourth Proportional to 3,486.88, 4,811.28 and 2,557.60

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Solution

The fourth proportional to 3,486.88, 4,811.28 and 2,557.60 is: 3,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.88 : 4,811.28 = 2,557.60 : x
  2. Step 2: Convert to fraction form
    3,486.88/4,811.28 = 2,557.60/x
  3. Step 3: Cross multiply
    3,486.88x = 4,811.28 × 2,557.60
  4. Step 4: Simplify right side
    3,486.88x = 12,305,329.73
  5. Step 5: Solve for x
    x = 12,305,329.73/3,486.88
  6. Step 6: Final answer
    x = 3,529.04

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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.