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Finding the Fourth Proportional to 4,768.84, 7,154.40 and 1,993.98

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Solution

The fourth proportional to 4,768.84, 7,154.40 and 1,993.98 is: 2,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.84 : 7,154.40 = 1,993.98 : x
  2. Step 2: Convert to fraction form
    4,768.84/7,154.40 = 1,993.98/x
  3. Step 3: Cross multiply
    4,768.84x = 7,154.40 × 1,993.98
  4. Step 4: Simplify right side
    4,768.84x = 14,265,730.51
  5. Step 5: Solve for x
    x = 14,265,730.51/4,768.84
  6. Step 6: Final answer
    x = 2,991.45

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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.