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Finding the Fourth Proportional to 5,300.70, 7,311.69 and 3,508.20

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Solution

The fourth proportional to 5,300.70, 7,311.69 and 3,508.20 is: 4,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.70 : 7,311.69 = 3,508.20 : x
  2. Step 2: Convert to fraction form
    5,300.70/7,311.69 = 3,508.20/x
  3. Step 3: Cross multiply
    5,300.70x = 7,311.69 × 3,508.20
  4. Step 4: Simplify right side
    5,300.70x = 25,650,870.86
  5. Step 5: Solve for x
    x = 25,650,870.86/5,300.70
  6. Step 6: Final answer
    x = 4,839.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.