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Finding the Fourth Proportional to 4,563, 6,845.16 and 1,484.28

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Solution

The fourth proportional to 4,563, 6,845.16 and 1,484.28 is: 2,226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563 : 6,845.16 = 1,484.28 : x
  2. Step 2: Convert to fraction form
    4,563/6,845.16 = 1,484.28/x
  3. Step 3: Cross multiply
    4,563x = 6,845.16 × 1,484.28
  4. Step 4: Simplify right side
    4,563x = 10,160,134.08
  5. Step 5: Solve for x
    x = 10,160,134.08/4,563
  6. Step 6: Final answer
    x = 2,226.63

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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.