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Finding the Fourth Proportional to 4,539.60, 6,809.40 and 4,323.60

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Solution

The fourth proportional to 4,539.60, 6,809.40 and 4,323.60 is: 6,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.60 : 6,809.40 = 4,323.60 : x
  2. Step 2: Convert to fraction form
    4,539.60/6,809.40 = 4,323.60/x
  3. Step 3: Cross multiply
    4,539.60x = 6,809.40 × 4,323.60
  4. Step 4: Simplify right side
    4,539.60x = 29,441,121.84
  5. Step 5: Solve for x
    x = 29,441,121.84/4,539.60
  6. Step 6: Final answer
    x = 6,485.40

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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.