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Finding the Fourth Proportional to 4,615.60, 6,923.40 and 1,842.70

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Solution

The fourth proportional to 4,615.60, 6,923.40 and 1,842.70 is: 2,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.60 : 6,923.40 = 1,842.70 : x
  2. Step 2: Convert to fraction form
    4,615.60/6,923.40 = 1,842.70/x
  3. Step 3: Cross multiply
    4,615.60x = 6,923.40 × 1,842.70
  4. Step 4: Simplify right side
    4,615.60x = 12,757,749.18
  5. Step 5: Solve for x
    x = 12,757,749.18/4,615.60
  6. Step 6: Final answer
    x = 2,764.05

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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.