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Finding the Fourth Proportional to 3,458.79, 5,188.19 and 861.72

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Solution

The fourth proportional to 3,458.79, 5,188.19 and 861.72 is: 1,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.79 : 5,188.19 = 861.72 : x
  2. Step 2: Convert to fraction form
    3,458.79/5,188.19 = 861.72/x
  3. Step 3: Cross multiply
    3,458.79x = 5,188.19 × 861.72
  4. Step 4: Simplify right side
    3,458.79x = 4,470,762.78
  5. Step 5: Solve for x
    x = 4,470,762.78/3,458.79
  6. Step 6: Final answer
    x = 1,292.58

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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.