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Finding the Fourth Proportional to 4,205.60, 5,807.40 and 2,636.40

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Solution

The fourth proportional to 4,205.60, 5,807.40 and 2,636.40 is: 3,640.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.60 : 5,807.40 = 2,636.40 : x
  2. Step 2: Convert to fraction form
    4,205.60/5,807.40 = 2,636.40/x
  3. Step 3: Cross multiply
    4,205.60x = 5,807.40 × 2,636.40
  4. Step 4: Simplify right side
    4,205.60x = 15,310,629.36
  5. Step 5: Solve for x
    x = 15,310,629.36/4,205.60
  6. Step 6: Final answer
    x = 3,640.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.