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Finding the Fourth Proportional to 5,320.46, 7,980.98 and 1,622.80

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Solution

The fourth proportional to 5,320.46, 7,980.98 and 1,622.80 is: 2,434.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.46 : 7,980.98 = 1,622.80 : x
  2. Step 2: Convert to fraction form
    5,320.46/7,980.98 = 1,622.80/x
  3. Step 3: Cross multiply
    5,320.46x = 7,980.98 × 1,622.80
  4. Step 4: Simplify right side
    5,320.46x = 12,951,534.34
  5. Step 5: Solve for x
    x = 12,951,534.34/5,320.46
  6. Step 6: Final answer
    x = 2,434.29

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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.