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Finding the Fourth Proportional to 3,598.48, 5,407.48 and 1,956.24

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Solution

The fourth proportional to 3,598.48, 5,407.48 and 1,956.24 is: 2,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.48 : 5,407.48 = 1,956.24 : x
  2. Step 2: Convert to fraction form
    3,598.48/5,407.48 = 1,956.24/x
  3. Step 3: Cross multiply
    3,598.48x = 5,407.48 × 1,956.24
  4. Step 4: Simplify right side
    3,598.48x = 10,578,328.68
  5. Step 5: Solve for x
    x = 10,578,328.68/3,598.48
  6. Step 6: Final answer
    x = 2,939.67

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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.