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Finding the Fourth Proportional to 4,636.98, 6,956.61 and 1,350.10

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Solution

The fourth proportional to 4,636.98, 6,956.61 and 1,350.10 is: 2,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.98 : 6,956.61 = 1,350.10 : x
  2. Step 2: Convert to fraction form
    4,636.98/6,956.61 = 1,350.10/x
  3. Step 3: Cross multiply
    4,636.98x = 6,956.61 × 1,350.10
  4. Step 4: Simplify right side
    4,636.98x = 9,392,119.16
  5. Step 5: Solve for x
    x = 9,392,119.16/4,636.98
  6. Step 6: Final answer
    x = 2,025.48

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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.