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Finding the Fourth Proportional to 4,842.60, 6,678.90 and 3,074.64

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Solution

The fourth proportional to 4,842.60, 6,678.90 and 3,074.64 is: 4,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.60 : 6,678.90 = 3,074.64 : x
  2. Step 2: Convert to fraction form
    4,842.60/6,678.90 = 3,074.64/x
  3. Step 3: Cross multiply
    4,842.60x = 6,678.90 × 3,074.64
  4. Step 4: Simplify right side
    4,842.60x = 20,535,213.10
  5. Step 5: Solve for x
    x = 20,535,213.10/4,842.60
  6. Step 6: Final answer
    x = 4,240.53

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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.