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Finding the Fourth Proportional to 5,085.62, 7,628.52 and 1,798.64

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Solution

The fourth proportional to 5,085.62, 7,628.52 and 1,798.64 is: 2,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.62 : 7,628.52 = 1,798.64 : x
  2. Step 2: Convert to fraction form
    5,085.62/7,628.52 = 1,798.64/x
  3. Step 3: Cross multiply
    5,085.62x = 7,628.52 × 1,798.64
  4. Step 4: Simplify right side
    5,085.62x = 13,720,961.21
  5. Step 5: Solve for x
    x = 13,720,961.21/5,085.62
  6. Step 6: Final answer
    x = 2,697.99

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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.