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Finding the Fourth Proportional to 3,313.96, 4,971.54 and 1,365.10

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Solution

The fourth proportional to 3,313.96, 4,971.54 and 1,365.10 is: 2,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.96 : 4,971.54 = 1,365.10 : x
  2. Step 2: Convert to fraction form
    3,313.96/4,971.54 = 1,365.10/x
  3. Step 3: Cross multiply
    3,313.96x = 4,971.54 × 1,365.10
  4. Step 4: Simplify right side
    3,313.96x = 6,786,649.25
  5. Step 5: Solve for x
    x = 6,786,649.25/3,313.96
  6. Step 6: Final answer
    x = 2,047.90

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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.