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Finding the Fourth Proportional to 5,289.60, 7,928.64 and 2,208

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Solution

The fourth proportional to 5,289.60, 7,928.64 and 2,208 is: 3,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.60 : 7,928.64 = 2,208 : x
  2. Step 2: Convert to fraction form
    5,289.60/7,928.64 = 2,208/x
  3. Step 3: Cross multiply
    5,289.60x = 7,928.64 × 2,208
  4. Step 4: Simplify right side
    5,289.60x = 17,506,437.12
  5. Step 5: Solve for x
    x = 17,506,437.12/5,289.60
  6. Step 6: Final answer
    x = 3,309.60

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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.