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Finding the Fourth Proportional to 4,657.64, 6,989.90 and 3,428.33

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Solution

The fourth proportional to 4,657.64, 6,989.90 and 3,428.33 is: 5,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.64 : 6,989.90 = 3,428.33 : x
  2. Step 2: Convert to fraction form
    4,657.64/6,989.90 = 3,428.33/x
  3. Step 3: Cross multiply
    4,657.64x = 6,989.90 × 3,428.33
  4. Step 4: Simplify right side
    4,657.64x = 23,963,631.78
  5. Step 5: Solve for x
    x = 23,963,631.78/4,657.64
  6. Step 6: Final answer
    x = 5,145.02

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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.