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Finding the Fourth Proportional to 5,606.70, 8,409.92 and 1,711.14

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Solution

The fourth proportional to 5,606.70, 8,409.92 and 1,711.14 is: 2,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.70 : 8,409.92 = 1,711.14 : x
  2. Step 2: Convert to fraction form
    5,606.70/8,409.92 = 1,711.14/x
  3. Step 3: Cross multiply
    5,606.70x = 8,409.92 × 1,711.14
  4. Step 4: Simplify right side
    5,606.70x = 14,390,541.95
  5. Step 5: Solve for x
    x = 14,390,541.95/5,606.70
  6. Step 6: Final answer
    x = 2,566.67

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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.