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Finding the Fourth Proportional to 3,835.50, 5,314.28 and 3,752.45

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Solution

The fourth proportional to 3,835.50, 5,314.28 and 3,752.45 is: 5,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.50 : 5,314.28 = 3,752.45 : x
  2. Step 2: Convert to fraction form
    3,835.50/5,314.28 = 3,752.45/x
  3. Step 3: Cross multiply
    3,835.50x = 5,314.28 × 3,752.45
  4. Step 4: Simplify right side
    3,835.50x = 19,941,572.72
  5. Step 5: Solve for x
    x = 19,941,572.72/3,835.50
  6. Step 6: Final answer
    x = 5,199.22

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.