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Finding the Fourth Proportional to 3,914.40, 5,402 and 2,235.20

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Solution

The fourth proportional to 3,914.40, 5,402 and 2,235.20 is: 3,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.40 : 5,402 = 2,235.20 : x
  2. Step 2: Convert to fraction form
    3,914.40/5,402 = 2,235.20/x
  3. Step 3: Cross multiply
    3,914.40x = 5,402 × 2,235.20
  4. Step 4: Simplify right side
    3,914.40x = 12,074,550.40
  5. Step 5: Solve for x
    x = 12,074,550.40/3,914.40
  6. Step 6: Final answer
    x = 3,084.65

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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.