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Finding the Fourth Proportional to 5,199.20, 7,798.03 and 1,689.53

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Solution

The fourth proportional to 5,199.20, 7,798.03 and 1,689.53 is: 2,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.20 : 7,798.03 = 1,689.53 : x
  2. Step 2: Convert to fraction form
    5,199.20/7,798.03 = 1,689.53/x
  3. Step 3: Cross multiply
    5,199.20x = 7,798.03 × 1,689.53
  4. Step 4: Simplify right side
    5,199.20x = 13,174,971.92
  5. Step 5: Solve for x
    x = 13,174,971.92/5,199.20
  6. Step 6: Final answer
    x = 2,534.04

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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.