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Finding the Fourth Proportional to 5,357.35, 8,034.77 and 1,460.83

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Solution

The fourth proportional to 5,357.35, 8,034.77 and 1,460.83 is: 2,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.35 : 8,034.77 = 1,460.83 : x
  2. Step 2: Convert to fraction form
    5,357.35/8,034.77 = 1,460.83/x
  3. Step 3: Cross multiply
    5,357.35x = 8,034.77 × 1,460.83
  4. Step 4: Simplify right side
    5,357.35x = 11,737,425.75
  5. Step 5: Solve for x
    x = 11,737,425.75/5,357.35
  6. Step 6: Final answer
    x = 2,190.90

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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.