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Finding the Fourth Proportional to 3,421.96, 5,126.76 and 1,574.62

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Solution

The fourth proportional to 3,421.96, 5,126.76 and 1,574.62 is: 2,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.96 : 5,126.76 = 1,574.62 : x
  2. Step 2: Convert to fraction form
    3,421.96/5,126.76 = 1,574.62/x
  3. Step 3: Cross multiply
    3,421.96x = 5,126.76 × 1,574.62
  4. Step 4: Simplify right side
    3,421.96x = 8,072,698.83
  5. Step 5: Solve for x
    x = 8,072,698.83/3,421.96
  6. Step 6: Final answer
    x = 2,359.09

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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.