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Finding the Fourth Proportional to 5,210.40, 7,190.28 and 2,852.40

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Solution

The fourth proportional to 5,210.40, 7,190.28 and 2,852.40 is: 3,936.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.40 : 7,190.28 = 2,852.40 : x
  2. Step 2: Convert to fraction form
    5,210.40/7,190.28 = 2,852.40/x
  3. Step 3: Cross multiply
    5,210.40x = 7,190.28 × 2,852.40
  4. Step 4: Simplify right side
    5,210.40x = 20,509,554.67
  5. Step 5: Solve for x
    x = 20,509,554.67/5,210.40
  6. Step 6: Final answer
    x = 3,936.27

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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.