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Finding the Fourth Proportional to 3,958.64, 5,462.08 and 2,364.86

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Solution

The fourth proportional to 3,958.64, 5,462.08 and 2,364.86 is: 3,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.64 : 5,462.08 = 2,364.86 : x
  2. Step 2: Convert to fraction form
    3,958.64/5,462.08 = 2,364.86/x
  3. Step 3: Cross multiply
    3,958.64x = 5,462.08 × 2,364.86
  4. Step 4: Simplify right side
    3,958.64x = 12,917,075.55
  5. Step 5: Solve for x
    x = 12,917,075.55/3,958.64
  6. Step 6: Final answer
    x = 3,263.01

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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.