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Finding the Fourth Proportional to 3,762.39, 5,188.95 and 2,820.40

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Solution

The fourth proportional to 3,762.39, 5,188.95 and 2,820.40 is: 3,889.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.39 : 5,188.95 = 2,820.40 : x
  2. Step 2: Convert to fraction form
    3,762.39/5,188.95 = 2,820.40/x
  3. Step 3: Cross multiply
    3,762.39x = 5,188.95 × 2,820.40
  4. Step 4: Simplify right side
    3,762.39x = 14,634,914.58
  5. Step 5: Solve for x
    x = 14,634,914.58/3,762.39
  6. Step 6: Final answer
    x = 3,889.79

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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.