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Finding the Fourth Proportional to 3,722.76, 5,584.32 and 2,492.64

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Solution

The fourth proportional to 3,722.76, 5,584.32 and 2,492.64 is: 3,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.76 : 5,584.32 = 2,492.64 : x
  2. Step 2: Convert to fraction form
    3,722.76/5,584.32 = 2,492.64/x
  3. Step 3: Cross multiply
    3,722.76x = 5,584.32 × 2,492.64
  4. Step 4: Simplify right side
    3,722.76x = 13,919,699.40
  5. Step 5: Solve for x
    x = 13,919,699.40/3,722.76
  6. Step 6: Final answer
    x = 3,739.08

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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.