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Finding the Fourth Proportional to 5,567.34, 7,684.20 and 3,471.06

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Solution

The fourth proportional to 5,567.34, 7,684.20 and 3,471.06 is: 4,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.34 : 7,684.20 = 3,471.06 : x
  2. Step 2: Convert to fraction form
    5,567.34/7,684.20 = 3,471.06/x
  3. Step 3: Cross multiply
    5,567.34x = 7,684.20 × 3,471.06
  4. Step 4: Simplify right side
    5,567.34x = 26,672,319.25
  5. Step 5: Solve for x
    x = 26,672,319.25/5,567.34
  6. Step 6: Final answer
    x = 4,790.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.