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Finding the Fourth Proportional to 3,646.96, 5,021.76 and 3,056.47

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Solution

The fourth proportional to 3,646.96, 5,021.76 and 3,056.47 is: 4,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.96 : 5,021.76 = 3,056.47 : x
  2. Step 2: Convert to fraction form
    3,646.96/5,021.76 = 3,056.47/x
  3. Step 3: Cross multiply
    3,646.96x = 5,021.76 × 3,056.47
  4. Step 4: Simplify right side
    3,646.96x = 15,348,857.69
  5. Step 5: Solve for x
    x = 15,348,857.69/3,646.96
  6. Step 6: Final answer
    x = 4,208.67

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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.