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Finding the Fourth Proportional to 5,980.32, 8,970.84 and 1,820.61

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Solution

The fourth proportional to 5,980.32, 8,970.84 and 1,820.61 is: 2,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.32 : 8,970.84 = 1,820.61 : x
  2. Step 2: Convert to fraction form
    5,980.32/8,970.84 = 1,820.61/x
  3. Step 3: Cross multiply
    5,980.32x = 8,970.84 × 1,820.61
  4. Step 4: Simplify right side
    5,980.32x = 16,332,401.01
  5. Step 5: Solve for x
    x = 16,332,401.01/5,980.32
  6. Step 6: Final answer
    x = 2,731.02

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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.