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Finding the Fourth Proportional to 5,208.61, 7,180.40 and 3,713.93

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Solution

The fourth proportional to 5,208.61, 7,180.40 and 3,713.93 is: 5,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.61 : 7,180.40 = 3,713.93 : x
  2. Step 2: Convert to fraction form
    5,208.61/7,180.40 = 3,713.93/x
  3. Step 3: Cross multiply
    5,208.61x = 7,180.40 × 3,713.93
  4. Step 4: Simplify right side
    5,208.61x = 26,667,448.50
  5. Step 5: Solve for x
    x = 26,667,448.50/5,208.61
  6. Step 6: Final answer
    x = 5,119.88

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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.