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Finding the Fourth Proportional to 5,335.80, 8,003.70 and 1,440.20

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Solution

The fourth proportional to 5,335.80, 8,003.70 and 1,440.20 is: 2,160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.80 : 8,003.70 = 1,440.20 : x
  2. Step 2: Convert to fraction form
    5,335.80/8,003.70 = 1,440.20/x
  3. Step 3: Cross multiply
    5,335.80x = 8,003.70 × 1,440.20
  4. Step 4: Simplify right side
    5,335.80x = 11,526,928.74
  5. Step 5: Solve for x
    x = 11,526,928.74/5,335.80
  6. Step 6: Final answer
    x = 2,160.30

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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.