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Finding the Fourth Proportional to 3,762.32, 5,190.36 and 2,269.41

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Solution

The fourth proportional to 3,762.32, 5,190.36 and 2,269.41 is: 3,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.32 : 5,190.36 = 2,269.41 : x
  2. Step 2: Convert to fraction form
    3,762.32/5,190.36 = 2,269.41/x
  3. Step 3: Cross multiply
    3,762.32x = 5,190.36 × 2,269.41
  4. Step 4: Simplify right side
    3,762.32x = 11,779,017.59
  5. Step 5: Solve for x
    x = 11,779,017.59/3,762.32
  6. Step 6: Final answer
    x = 3,130.79

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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.