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Finding the Fourth Proportional to 3,594, 4,958.04 and 2,546.64

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Solution

The fourth proportional to 3,594, 4,958.04 and 2,546.64 is: 3,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594 : 4,958.04 = 2,546.64 : x
  2. Step 2: Convert to fraction form
    3,594/4,958.04 = 2,546.64/x
  3. Step 3: Cross multiply
    3,594x = 4,958.04 × 2,546.64
  4. Step 4: Simplify right side
    3,594x = 12,626,342.99
  5. Step 5: Solve for x
    x = 12,626,342.99/3,594
  6. Step 6: Final answer
    x = 3,513.17

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Why These Related Problems?

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