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Finding the Fourth Proportional to 3,715.53, 5,127.50 and 2,389.67

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Solution

The fourth proportional to 3,715.53, 5,127.50 and 2,389.67 is: 3,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.53 : 5,127.50 = 2,389.67 : x
  2. Step 2: Convert to fraction form
    3,715.53/5,127.50 = 2,389.67/x
  3. Step 3: Cross multiply
    3,715.53x = 5,127.50 × 2,389.67
  4. Step 4: Simplify right side
    3,715.53x = 12,252,995.34
  5. Step 5: Solve for x
    x = 12,252,995.34/3,715.53
  6. Step 6: Final answer
    x = 3,297.78

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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.