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Finding the Fourth Proportional to 4,459.50, 6,154.53 and 2,571.12

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Solution

The fourth proportional to 4,459.50, 6,154.53 and 2,571.12 is: 3,548.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.50 : 6,154.53 = 2,571.12 : x
  2. Step 2: Convert to fraction form
    4,459.50/6,154.53 = 2,571.12/x
  3. Step 3: Cross multiply
    4,459.50x = 6,154.53 × 2,571.12
  4. Step 4: Simplify right side
    4,459.50x = 15,824,035.17
  5. Step 5: Solve for x
    x = 15,824,035.17/4,459.50
  6. Step 6: Final answer
    x = 3,548.39

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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.