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Finding the Fourth Proportional to 4,752.95, 7,127.64 and 1,902.56

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Solution

The fourth proportional to 4,752.95, 7,127.64 and 1,902.56 is: 2,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.95 : 7,127.64 = 1,902.56 : x
  2. Step 2: Convert to fraction form
    4,752.95/7,127.64 = 1,902.56/x
  3. Step 3: Cross multiply
    4,752.95x = 7,127.64 × 1,902.56
  4. Step 4: Simplify right side
    4,752.95x = 13,560,727.12
  5. Step 5: Solve for x
    x = 13,560,727.12/4,752.95
  6. Step 6: Final answer
    x = 2,853.12

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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.