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Finding the Fourth Proportional to 4,952.96, 7,427.64 and 2,029.64

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Solution

The fourth proportional to 4,952.96, 7,427.64 and 2,029.64 is: 3,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.96 : 7,427.64 = 2,029.64 : x
  2. Step 2: Convert to fraction form
    4,952.96/7,427.64 = 2,029.64/x
  3. Step 3: Cross multiply
    4,952.96x = 7,427.64 × 2,029.64
  4. Step 4: Simplify right side
    4,952.96x = 15,075,435.25
  5. Step 5: Solve for x
    x = 15,075,435.25/4,952.96
  6. Step 6: Final answer
    x = 3,043.72

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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.