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Finding the Fourth Proportional to 4,344.76, 6,518.10 and 2,035

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Solution

The fourth proportional to 4,344.76, 6,518.10 and 2,035 is: 3,052.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,344.76 : 6,518.10 = 2,035 : x
  2. Step 2: Convert to fraction form
    4,344.76/6,518.10 = 2,035/x
  3. Step 3: Cross multiply
    4,344.76x = 6,518.10 × 2,035
  4. Step 4: Simplify right side
    4,344.76x = 13,264,333.50
  5. Step 5: Solve for x
    x = 13,264,333.50/4,344.76
  6. Step 6: Final answer
    x = 3,052.95

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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.