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Finding the Fourth Proportional to 5,156.34, 7,735.05 and 2,558.58

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Solution

The fourth proportional to 5,156.34, 7,735.05 and 2,558.58 is: 3,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.34 : 7,735.05 = 2,558.58 : x
  2. Step 2: Convert to fraction form
    5,156.34/7,735.05 = 2,558.58/x
  3. Step 3: Cross multiply
    5,156.34x = 7,735.05 × 2,558.58
  4. Step 4: Simplify right side
    5,156.34x = 19,790,744.23
  5. Step 5: Solve for x
    x = 19,790,744.23/5,156.34
  6. Step 6: Final answer
    x = 3,838.14

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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.