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Finding the Fourth Proportional to 4,683.34, 6,464.64 and 3,009.34

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Solution

The fourth proportional to 4,683.34, 6,464.64 and 3,009.34 is: 4,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.34 : 6,464.64 = 3,009.34 : x
  2. Step 2: Convert to fraction form
    4,683.34/6,464.64 = 3,009.34/x
  3. Step 3: Cross multiply
    4,683.34x = 6,464.64 × 3,009.34
  4. Step 4: Simplify right side
    4,683.34x = 19,454,299.74
  5. Step 5: Solve for x
    x = 19,454,299.74/4,683.34
  6. Step 6: Final answer
    x = 4,153.94

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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.