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Finding the Fourth Proportional to 3,567.90, 5,352.24 and 971.04

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Solution

The fourth proportional to 3,567.90, 5,352.24 and 971.04 is: 1,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.90 : 5,352.24 = 971.04 : x
  2. Step 2: Convert to fraction form
    3,567.90/5,352.24 = 971.04/x
  3. Step 3: Cross multiply
    3,567.90x = 5,352.24 × 971.04
  4. Step 4: Simplify right side
    3,567.90x = 5,197,239.13
  5. Step 5: Solve for x
    x = 5,197,239.13/3,567.90
  6. Step 6: Final answer
    x = 1,456.67

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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.