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Finding the Fourth Proportional to 3,627.50, 5,011.00 and 3,492.63

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Solution

The fourth proportional to 3,627.50, 5,011.00 and 3,492.63 is: 4,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.50 : 5,011.00 = 3,492.63 : x
  2. Step 2: Convert to fraction form
    3,627.50/5,011.00 = 3,492.63/x
  3. Step 3: Cross multiply
    3,627.50x = 5,011.00 × 3,492.63
  4. Step 4: Simplify right side
    3,627.50x = 17,501,560.20
  5. Step 5: Solve for x
    x = 17,501,560.20/3,627.50
  6. Step 6: Final answer
    x = 4,824.70

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