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Finding the Fourth Proportional to 3,609.84, 5,416.84 and 1,529.68

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Solution

The fourth proportional to 3,609.84, 5,416.84 and 1,529.68 is: 2,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.84 : 5,416.84 = 1,529.68 : x
  2. Step 2: Convert to fraction form
    3,609.84/5,416.84 = 1,529.68/x
  3. Step 3: Cross multiply
    3,609.84x = 5,416.84 × 1,529.68
  4. Step 4: Simplify right side
    3,609.84x = 8,286,031.81
  5. Step 5: Solve for x
    x = 8,286,031.81/3,609.84
  6. Step 6: Final answer
    x = 2,295.40

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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.