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Finding the Fourth Proportional to 4,529.60, 6,794.24 and 1,409.60

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Solution

The fourth proportional to 4,529.60, 6,794.24 and 1,409.60 is: 2,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,529.60 : 6,794.24 = 1,409.60 : x
  2. Step 2: Convert to fraction form
    4,529.60/6,794.24 = 1,409.60/x
  3. Step 3: Cross multiply
    4,529.60x = 6,794.24 × 1,409.60
  4. Step 4: Simplify right side
    4,529.60x = 9,577,160.70
  5. Step 5: Solve for x
    x = 9,577,160.70/4,529.60
  6. Step 6: Final answer
    x = 2,114.35

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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.