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Finding the Fourth Proportional to 5,708.34, 8,564.19 and 1,812.66

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Solution

The fourth proportional to 5,708.34, 8,564.19 and 1,812.66 is: 2,719.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.34 : 8,564.19 = 1,812.66 : x
  2. Step 2: Convert to fraction form
    5,708.34/8,564.19 = 1,812.66/x
  3. Step 3: Cross multiply
    5,708.34x = 8,564.19 × 1,812.66
  4. Step 4: Simplify right side
    5,708.34x = 15,523,964.65
  5. Step 5: Solve for x
    x = 15,523,964.65/5,708.34
  6. Step 6: Final answer
    x = 2,719.52

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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.