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Finding the Fourth Proportional to 3,423.89, 5,134.92 and 1,574.06

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Solution

The fourth proportional to 3,423.89, 5,134.92 and 1,574.06 is: 2,360.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.89 : 5,134.92 = 1,574.06 : x
  2. Step 2: Convert to fraction form
    3,423.89/5,134.92 = 1,574.06/x
  3. Step 3: Cross multiply
    3,423.89x = 5,134.92 × 1,574.06
  4. Step 4: Simplify right side
    3,423.89x = 8,082,646.50
  5. Step 5: Solve for x
    x = 8,082,646.50/3,423.89
  6. Step 6: Final answer
    x = 2,360.67

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Why These Related Problems?

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