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Finding the Fourth Proportional to 4,774.77, 7,162.54 and 1,814.63

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Solution

The fourth proportional to 4,774.77, 7,162.54 and 1,814.63 is: 2,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.77 : 7,162.54 = 1,814.63 : x
  2. Step 2: Convert to fraction form
    4,774.77/7,162.54 = 1,814.63/x
  3. Step 3: Cross multiply
    4,774.77x = 7,162.54 × 1,814.63
  4. Step 4: Simplify right side
    4,774.77x = 12,997,382.40
  5. Step 5: Solve for x
    x = 12,997,382.40/4,774.77
  6. Step 6: Final answer
    x = 2,722.09

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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.