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Finding the Fourth Proportional to 5,506.54, 8,259.84 and 1,346.58

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Solution

The fourth proportional to 5,506.54, 8,259.84 and 1,346.58 is: 2,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.54 : 8,259.84 = 1,346.58 : x
  2. Step 2: Convert to fraction form
    5,506.54/8,259.84 = 1,346.58/x
  3. Step 3: Cross multiply
    5,506.54x = 8,259.84 × 1,346.58
  4. Step 4: Simplify right side
    5,506.54x = 11,122,535.35
  5. Step 5: Solve for x
    x = 11,122,535.35/5,506.54
  6. Step 6: Final answer
    x = 2,019.88

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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.