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Finding the Fourth Proportional to 3,716.66, 5,129.00 and 2,038.07

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Solution

The fourth proportional to 3,716.66, 5,129.00 and 2,038.07 is: 2,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.66 : 5,129.00 = 2,038.07 : x
  2. Step 2: Convert to fraction form
    3,716.66/5,129.00 = 2,038.07/x
  3. Step 3: Cross multiply
    3,716.66x = 5,129.00 × 2,038.07
  4. Step 4: Simplify right side
    3,716.66x = 10,453,225.19
  5. Step 5: Solve for x
    x = 10,453,225.19/3,716.66
  6. Step 6: Final answer
    x = 2,812.54

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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.