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Finding the Fourth Proportional to 3,795.59, 5,238 and 2,117.13

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Solution

The fourth proportional to 3,795.59, 5,238 and 2,117.13 is: 2,921.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.59 : 5,238 = 2,117.13 : x
  2. Step 2: Convert to fraction form
    3,795.59/5,238 = 2,117.13/x
  3. Step 3: Cross multiply
    3,795.59x = 5,238 × 2,117.13
  4. Step 4: Simplify right side
    3,795.59x = 11,089,526.94
  5. Step 5: Solve for x
    x = 11,089,526.94/3,795.59
  6. Step 6: Final answer
    x = 2,921.69

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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.