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Finding the Fourth Proportional to 4,566.14, 6,840.08 and 4,180.67

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Solution

The fourth proportional to 4,566.14, 6,840.08 and 4,180.67 is: 6,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.14 : 6,840.08 = 4,180.67 : x
  2. Step 2: Convert to fraction form
    4,566.14/6,840.08 = 4,180.67/x
  3. Step 3: Cross multiply
    4,566.14x = 6,840.08 × 4,180.67
  4. Step 4: Simplify right side
    4,566.14x = 28,596,117.25
  5. Step 5: Solve for x
    x = 28,596,117.25/4,566.14
  6. Step 6: Final answer
    x = 6,262.65

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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.