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Finding the Fourth Proportional to 3,513.80, 5,271.90 and 1,567.34

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Solution

The fourth proportional to 3,513.80, 5,271.90 and 1,567.34 is: 2,351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.80 : 5,271.90 = 1,567.34 : x
  2. Step 2: Convert to fraction form
    3,513.80/5,271.90 = 1,567.34/x
  3. Step 3: Cross multiply
    3,513.80x = 5,271.90 × 1,567.34
  4. Step 4: Simplify right side
    3,513.80x = 8,262,859.75
  5. Step 5: Solve for x
    x = 8,262,859.75/3,513.80
  6. Step 6: Final answer
    x = 2,351.55

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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.