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Finding the Fourth Proportional to 5,206.76, 7,174.69 and 3,711.50

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Solution

The fourth proportional to 5,206.76, 7,174.69 and 3,711.50 is: 5,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.76 : 7,174.69 = 3,711.50 : x
  2. Step 2: Convert to fraction form
    5,206.76/7,174.69 = 3,711.50/x
  3. Step 3: Cross multiply
    5,206.76x = 7,174.69 × 3,711.50
  4. Step 4: Simplify right side
    5,206.76x = 26,628,807.50
  5. Step 5: Solve for x
    x = 26,628,807.50/5,206.76
  6. Step 6: Final answer
    x = 5,114.28

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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.