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Finding the Fourth Proportional to 4,656.89, 6,989.92 and 3,420.83

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Solution

The fourth proportional to 4,656.89, 6,989.92 and 3,420.83 is: 5,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.89 : 6,989.92 = 3,420.83 : x
  2. Step 2: Convert to fraction form
    4,656.89/6,989.92 = 3,420.83/x
  3. Step 3: Cross multiply
    4,656.89x = 6,989.92 × 3,420.83
  4. Step 4: Simplify right side
    4,656.89x = 23,911,284.53
  5. Step 5: Solve for x
    x = 23,911,284.53/4,656.89
  6. Step 6: Final answer
    x = 5,134.61

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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.