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Finding the Fourth Proportional to 5,461.68, 8,184.42 and 2,823.24

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Solution

The fourth proportional to 5,461.68, 8,184.42 and 2,823.24 is: 4,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.68 : 8,184.42 = 2,823.24 : x
  2. Step 2: Convert to fraction form
    5,461.68/8,184.42 = 2,823.24/x
  3. Step 3: Cross multiply
    5,461.68x = 8,184.42 × 2,823.24
  4. Step 4: Simplify right side
    5,461.68x = 23,106,581.92
  5. Step 5: Solve for x
    x = 23,106,581.92/5,461.68
  6. Step 6: Final answer
    x = 4,230.67

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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.