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Finding the Fourth Proportional to 5,156.70, 7,734.19 and 1,458.09

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Solution

The fourth proportional to 5,156.70, 7,734.19 and 1,458.09 is: 2,186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.70 : 7,734.19 = 1,458.09 : x
  2. Step 2: Convert to fraction form
    5,156.70/7,734.19 = 1,458.09/x
  3. Step 3: Cross multiply
    5,156.70x = 7,734.19 × 1,458.09
  4. Step 4: Simplify right side
    5,156.70x = 11,277,145.10
  5. Step 5: Solve for x
    x = 11,277,145.10/5,156.70
  6. Step 6: Final answer
    x = 2,186.89

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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.