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Finding the Fourth Proportional to 3,763.13, 5,186.63 and 3,537.41

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Solution

The fourth proportional to 3,763.13, 5,186.63 and 3,537.41 is: 4,875.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.13 : 5,186.63 = 3,537.41 : x
  2. Step 2: Convert to fraction form
    3,763.13/5,186.63 = 3,537.41/x
  3. Step 3: Cross multiply
    3,763.13x = 5,186.63 × 3,537.41
  4. Step 4: Simplify right side
    3,763.13x = 18,347,219.74
  5. Step 5: Solve for x
    x = 18,347,219.74/3,763.13
  6. Step 6: Final answer
    x = 4,875.53

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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.