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Finding the Fourth Proportional to 3,308, 4,959.56 and 1,577.84

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Solution

The fourth proportional to 3,308, 4,959.56 and 1,577.84 is: 2,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308 : 4,959.56 = 1,577.84 : x
  2. Step 2: Convert to fraction form
    3,308/4,959.56 = 1,577.84/x
  3. Step 3: Cross multiply
    3,308x = 4,959.56 × 1,577.84
  4. Step 4: Simplify right side
    3,308x = 7,825,392.15
  5. Step 5: Solve for x
    x = 7,825,392.15/3,308
  6. Step 6: Final answer
    x = 2,365.60

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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.