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Finding the Fourth Proportional to 3,421.85, 5,129.27 and 1,574.34

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Solution

The fourth proportional to 3,421.85, 5,129.27 and 1,574.34 is: 2,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.85 : 5,129.27 = 1,574.34 : x
  2. Step 2: Convert to fraction form
    3,421.85/5,129.27 = 1,574.34/x
  3. Step 3: Cross multiply
    3,421.85x = 5,129.27 × 1,574.34
  4. Step 4: Simplify right side
    3,421.85x = 8,075,202.58
  5. Step 5: Solve for x
    x = 8,075,202.58/3,421.85
  6. Step 6: Final answer
    x = 2,359.90

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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.