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Finding the Fourth Proportional to 5,317.98, 7,977.30 and 1,620.47

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Solution

The fourth proportional to 5,317.98, 7,977.30 and 1,620.47 is: 2,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.98 : 7,977.30 = 1,620.47 : x
  2. Step 2: Convert to fraction form
    5,317.98/7,977.30 = 1,620.47/x
  3. Step 3: Cross multiply
    5,317.98x = 7,977.30 × 1,620.47
  4. Step 4: Simplify right side
    5,317.98x = 12,926,935.44
  5. Step 5: Solve for x
    x = 12,926,935.44/5,317.98
  6. Step 6: Final answer
    x = 2,430.80

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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.