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Finding the Fourth Proportional to 3,716.80, 5,129.20 and 2,038.35

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Solution

The fourth proportional to 3,716.80, 5,129.20 and 2,038.35 is: 2,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.80 : 5,129.20 = 2,038.35 : x
  2. Step 2: Convert to fraction form
    3,716.80/5,129.20 = 2,038.35/x
  3. Step 3: Cross multiply
    3,716.80x = 5,129.20 × 2,038.35
  4. Step 4: Simplify right side
    3,716.80x = 10,455,113.66
  5. Step 5: Solve for x
    x = 10,455,113.66/3,716.80
  6. Step 6: Final answer
    x = 2,812.93

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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.