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Finding the Fourth Proportional to 4,400.79, 6,585.46 and 3,822.60

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Solution

The fourth proportional to 4,400.79, 6,585.46 and 3,822.60 is: 5,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.79 : 6,585.46 = 3,822.60 : x
  2. Step 2: Convert to fraction form
    4,400.79/6,585.46 = 3,822.60/x
  3. Step 3: Cross multiply
    4,400.79x = 6,585.46 × 3,822.60
  4. Step 4: Simplify right side
    4,400.79x = 25,173,594.53
  5. Step 5: Solve for x
    x = 25,173,594.53/4,400.79
  6. Step 6: Final answer
    x = 5,720.24

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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.