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Finding the Fourth Proportional to 4,365.14, 6,023.81 and 2,375.65

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Solution

The fourth proportional to 4,365.14, 6,023.81 and 2,375.65 is: 3,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.14 : 6,023.81 = 2,375.65 : x
  2. Step 2: Convert to fraction form
    4,365.14/6,023.81 = 2,375.65/x
  3. Step 3: Cross multiply
    4,365.14x = 6,023.81 × 2,375.65
  4. Step 4: Simplify right side
    4,365.14x = 14,310,464.23
  5. Step 5: Solve for x
    x = 14,310,464.23/4,365.14
  6. Step 6: Final answer
    x = 3,278.35

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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.