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Finding the Fourth Proportional to 5,695.63, 8,542.98 and 2,534.05

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Solution

The fourth proportional to 5,695.63, 8,542.98 and 2,534.05 is: 3,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.63 : 8,542.98 = 2,534.05 : x
  2. Step 2: Convert to fraction form
    5,695.63/8,542.98 = 2,534.05/x
  3. Step 3: Cross multiply
    5,695.63x = 8,542.98 × 2,534.05
  4. Step 4: Simplify right side
    5,695.63x = 21,648,317.11
  5. Step 5: Solve for x
    x = 21,648,317.11/5,695.63
  6. Step 6: Final answer
    x = 3,800.87

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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.