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Finding the Fourth Proportional to 4,633.84, 6,411.31 and 4,046.08

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Solution

The fourth proportional to 4,633.84, 6,411.31 and 4,046.08 is: 5,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.84 : 6,411.31 = 4,046.08 : x
  2. Step 2: Convert to fraction form
    4,633.84/6,411.31 = 4,046.08/x
  3. Step 3: Cross multiply
    4,633.84x = 6,411.31 × 4,046.08
  4. Step 4: Simplify right side
    4,633.84x = 25,940,673.16
  5. Step 5: Solve for x
    x = 25,940,673.16/4,633.84
  6. Step 6: Final answer
    x = 5,598.09

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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.