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Finding the Fourth Proportional to 4,707.81, 6,497.69 and 3,114.54

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Solution

The fourth proportional to 4,707.81, 6,497.69 and 3,114.54 is: 4,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.81 : 6,497.69 = 3,114.54 : x
  2. Step 2: Convert to fraction form
    4,707.81/6,497.69 = 3,114.54/x
  3. Step 3: Cross multiply
    4,707.81x = 6,497.69 × 3,114.54
  4. Step 4: Simplify right side
    4,707.81x = 20,237,299.84
  5. Step 5: Solve for x
    x = 20,237,299.84/4,707.81
  6. Step 6: Final answer
    x = 4,298.67

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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.