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Finding the Fourth Proportional to 3,453.90, 5,182.06 and 1,506.25

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Solution

The fourth proportional to 3,453.90, 5,182.06 and 1,506.25 is: 2,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.90 : 5,182.06 = 1,506.25 : x
  2. Step 2: Convert to fraction form
    3,453.90/5,182.06 = 1,506.25/x
  3. Step 3: Cross multiply
    3,453.90x = 5,182.06 × 1,506.25
  4. Step 4: Simplify right side
    3,453.90x = 7,805,477.88
  5. Step 5: Solve for x
    x = 7,805,477.88/3,453.90
  6. Step 6: Final answer
    x = 2,259.90

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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.