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Finding the Fourth Proportional to 3,935.80, 5,430 and 2,364.40

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Solution

The fourth proportional to 3,935.80, 5,430 and 2,364.40 is: 3,262.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,935.80 : 5,430 = 2,364.40 : x
  2. Step 2: Convert to fraction form
    3,935.80/5,430 = 2,364.40/x
  3. Step 3: Cross multiply
    3,935.80x = 5,430 × 2,364.40
  4. Step 4: Simplify right side
    3,935.80x = 12,838,692
  5. Step 5: Solve for x
    x = 12,838,692/3,935.80
  6. Step 6: Final answer
    x = 3,262.03

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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.