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Finding the Fourth Proportional to 4,952.82, 7,410.51 and 2,970.90

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Solution

The fourth proportional to 4,952.82, 7,410.51 and 2,970.90 is: 4,445.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.82 : 7,410.51 = 2,970.90 : x
  2. Step 2: Convert to fraction form
    4,952.82/7,410.51 = 2,970.90/x
  3. Step 3: Cross multiply
    4,952.82x = 7,410.51 × 2,970.90
  4. Step 4: Simplify right side
    4,952.82x = 22,015,884.16
  5. Step 5: Solve for x
    x = 22,015,884.16/4,952.82
  6. Step 6: Final answer
    x = 4,445.12

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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.