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Finding the Fourth Proportional to 3,809.06, 5,263.36 and 2,971.88

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Solution

The fourth proportional to 3,809.06, 5,263.36 and 2,971.88 is: 4,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.06 : 5,263.36 = 2,971.88 : x
  2. Step 2: Convert to fraction form
    3,809.06/5,263.36 = 2,971.88/x
  3. Step 3: Cross multiply
    3,809.06x = 5,263.36 × 2,971.88
  4. Step 4: Simplify right side
    3,809.06x = 15,642,074.32
  5. Step 5: Solve for x
    x = 15,642,074.32/3,809.06
  6. Step 6: Final answer
    x = 4,106.54

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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.