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Finding the Fourth Proportional to 3,459.17, 5,188.19 and 993.43

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Solution

The fourth proportional to 3,459.17, 5,188.19 and 993.43 is: 1,489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.17 : 5,188.19 = 993.43 : x
  2. Step 2: Convert to fraction form
    3,459.17/5,188.19 = 993.43/x
  3. Step 3: Cross multiply
    3,459.17x = 5,188.19 × 993.43
  4. Step 4: Simplify right side
    3,459.17x = 5,154,080.94
  5. Step 5: Solve for x
    x = 5,154,080.94/3,459.17
  6. Step 6: Final answer
    x = 1,489.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.