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Finding the Fourth Proportional to 4,178.66, 5,751.21 and 3,582.50

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Solution

The fourth proportional to 4,178.66, 5,751.21 and 3,582.50 is: 4,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.66 : 5,751.21 = 3,582.50 : x
  2. Step 2: Convert to fraction form
    4,178.66/5,751.21 = 3,582.50/x
  3. Step 3: Cross multiply
    4,178.66x = 5,751.21 × 3,582.50
  4. Step 4: Simplify right side
    4,178.66x = 20,603,709.83
  5. Step 5: Solve for x
    x = 20,603,709.83/4,178.66
  6. Step 6: Final answer
    x = 4,930.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.