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Finding the Fourth Proportional to 5,313.35, 7,970.05 and 1,982.34

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Solution

The fourth proportional to 5,313.35, 7,970.05 and 1,982.34 is: 2,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.35 : 7,970.05 = 1,982.34 : x
  2. Step 2: Convert to fraction form
    5,313.35/7,970.05 = 1,982.34/x
  3. Step 3: Cross multiply
    5,313.35x = 7,970.05 × 1,982.34
  4. Step 4: Simplify right side
    5,313.35x = 15,799,343.96
  5. Step 5: Solve for x
    x = 15,799,343.96/5,313.35
  6. Step 6: Final answer
    x = 2,973.52

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1.5x scale

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.