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Finding the Fourth Proportional to 4,074.60, 6,128.10 and 3,653.40

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Solution

The fourth proportional to 4,074.60, 6,128.10 and 3,653.40 is: 5,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.60 : 6,128.10 = 3,653.40 : x
  2. Step 2: Convert to fraction form
    4,074.60/6,128.10 = 3,653.40/x
  3. Step 3: Cross multiply
    4,074.60x = 6,128.10 × 3,653.40
  4. Step 4: Simplify right side
    4,074.60x = 22,388,400.54
  5. Step 5: Solve for x
    x = 22,388,400.54/4,074.60
  6. Step 6: Final answer
    x = 5,494.63

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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.