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Finding the Fourth Proportional to 3,454.56, 5,181.72 and 1,506.30

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Solution

The fourth proportional to 3,454.56, 5,181.72 and 1,506.30 is: 2,259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.56 : 5,181.72 = 1,506.30 : x
  2. Step 2: Convert to fraction form
    3,454.56/5,181.72 = 1,506.30/x
  3. Step 3: Cross multiply
    3,454.56x = 5,181.72 × 1,506.30
  4. Step 4: Simplify right side
    3,454.56x = 7,805,224.84
  5. Step 5: Solve for x
    x = 7,805,224.84/3,454.56
  6. Step 6: Final answer
    x = 2,259.40

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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.