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Finding the Fourth Proportional to 4,362.64, 6,544.16 and 1,730.68

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Solution

The fourth proportional to 4,362.64, 6,544.16 and 1,730.68 is: 2,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.64 : 6,544.16 = 1,730.68 : x
  2. Step 2: Convert to fraction form
    4,362.64/6,544.16 = 1,730.68/x
  3. Step 3: Cross multiply
    4,362.64x = 6,544.16 × 1,730.68
  4. Step 4: Simplify right side
    4,362.64x = 11,325,846.83
  5. Step 5: Solve for x
    x = 11,325,846.83/4,362.64
  6. Step 6: Final answer
    x = 2,596.10

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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.