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Finding the Fourth Proportional to 3,664.64, 5,495.72 and 2,346.48

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Solution

The fourth proportional to 3,664.64, 5,495.72 and 2,346.48 is: 3,518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.64 : 5,495.72 = 2,346.48 : x
  2. Step 2: Convert to fraction form
    3,664.64/5,495.72 = 2,346.48/x
  3. Step 3: Cross multiply
    3,664.64x = 5,495.72 × 2,346.48
  4. Step 4: Simplify right side
    3,664.64x = 12,895,597.07
  5. Step 5: Solve for x
    x = 12,895,597.07/3,664.64
  6. Step 6: Final answer
    x = 3,518.93

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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.