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Finding the Fourth Proportional to 4,242.35, 5,853.80 and 2,378.99

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Solution

The fourth proportional to 4,242.35, 5,853.80 and 2,378.99 is: 3,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.35 : 5,853.80 = 2,378.99 : x
  2. Step 2: Convert to fraction form
    4,242.35/5,853.80 = 2,378.99/x
  3. Step 3: Cross multiply
    4,242.35x = 5,853.80 × 2,378.99
  4. Step 4: Simplify right side
    4,242.35x = 13,926,090.50
  5. Step 5: Solve for x
    x = 13,926,090.50/4,242.35
  6. Step 6: Final answer
    x = 3,282.64

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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.