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Finding the Fourth Proportional to 3,663.36, 5,497.44 and 1,715.70

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Solution

The fourth proportional to 3,663.36, 5,497.44 and 1,715.70 is: 2,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.36 : 5,497.44 = 1,715.70 : x
  2. Step 2: Convert to fraction form
    3,663.36/5,497.44 = 1,715.70/x
  3. Step 3: Cross multiply
    3,663.36x = 5,497.44 × 1,715.70
  4. Step 4: Simplify right side
    3,663.36x = 9,431,957.81
  5. Step 5: Solve for x
    x = 9,431,957.81/3,663.36
  6. Step 6: Final answer
    x = 2,574.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.