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Finding the Fourth Proportional to 3,089.34, 4,633.52 and 1,009.33

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Solution

The fourth proportional to 3,089.34, 4,633.52 and 1,009.33 is: 1,513.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.34 : 4,633.52 = 1,009.33 : x
  2. Step 2: Convert to fraction form
    3,089.34/4,633.52 = 1,009.33/x
  3. Step 3: Cross multiply
    3,089.34x = 4,633.52 × 1,009.33
  4. Step 4: Simplify right side
    3,089.34x = 4,676,759.06
  5. Step 5: Solve for x
    x = 4,676,759.06/3,089.34
  6. Step 6: Final answer
    x = 1,513.84

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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.