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Finding the Fourth Proportional to 4,756.14, 7,116.39 and 3,298.14

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Solution

The fourth proportional to 4,756.14, 7,116.39 and 3,298.14 is: 4,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.14 : 7,116.39 = 3,298.14 : x
  2. Step 2: Convert to fraction form
    4,756.14/7,116.39 = 3,298.14/x
  3. Step 3: Cross multiply
    4,756.14x = 7,116.39 × 3,298.14
  4. Step 4: Simplify right side
    4,756.14x = 23,470,850.51
  5. Step 5: Solve for x
    x = 23,470,850.51/4,756.14
  6. Step 6: Final answer
    x = 4,934.85

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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.