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Finding the Fourth Proportional to 4,533.16, 6,800.14 and 1,936.12

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Solution

The fourth proportional to 4,533.16, 6,800.14 and 1,936.12 is: 2,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533.16 : 6,800.14 = 1,936.12 : x
  2. Step 2: Convert to fraction form
    4,533.16/6,800.14 = 1,936.12/x
  3. Step 3: Cross multiply
    4,533.16x = 6,800.14 × 1,936.12
  4. Step 4: Simplify right side
    4,533.16x = 13,165,887.06
  5. Step 5: Solve for x
    x = 13,165,887.06/4,533.16
  6. Step 6: Final answer
    x = 2,904.35

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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.