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Finding the Fourth Proportional to 5,825, 8,695.20 and 5,391.34

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Solution

The fourth proportional to 5,825, 8,695.20 and 5,391.34 is: 8,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825 : 8,695.20 = 5,391.34 : x
  2. Step 2: Convert to fraction form
    5,825/8,695.20 = 5,391.34/x
  3. Step 3: Cross multiply
    5,825x = 8,695.20 × 5,391.34
  4. Step 4: Simplify right side
    5,825x = 46,878,779.57
  5. Step 5: Solve for x
    x = 46,878,779.57/5,825
  6. Step 6: Final answer
    x = 8,047.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.