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Finding the Fourth Proportional to 5,182.58, 7,774.32 and 1,485.12

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Solution

The fourth proportional to 5,182.58, 7,774.32 and 1,485.12 is: 2,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.58 : 7,774.32 = 1,485.12 : x
  2. Step 2: Convert to fraction form
    5,182.58/7,774.32 = 1,485.12/x
  3. Step 3: Cross multiply
    5,182.58x = 7,774.32 × 1,485.12
  4. Step 4: Simplify right side
    5,182.58x = 11,545,798.12
  5. Step 5: Solve for x
    x = 11,545,798.12/5,182.58
  6. Step 6: Final answer
    x = 2,227.81

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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.