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Finding the Fourth Proportional to 4,623.60, 6,378.60 and 2,853.84

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Solution

The fourth proportional to 4,623.60, 6,378.60 and 2,853.84 is: 3,937.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,623.60 : 6,378.60 = 2,853.84 : x
  2. Step 2: Convert to fraction form
    4,623.60/6,378.60 = 2,853.84/x
  3. Step 3: Cross multiply
    4,623.60x = 6,378.60 × 2,853.84
  4. Step 4: Simplify right side
    4,623.60x = 18,203,503.82
  5. Step 5: Solve for x
    x = 18,203,503.82/4,623.60
  6. Step 6: Final answer
    x = 3,937.08

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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.