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Finding the Fourth Proportional to 4,742.02, 7,113.02 and 2,143.12

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Solution

The fourth proportional to 4,742.02, 7,113.02 and 2,143.12 is: 3,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.02 : 7,113.02 = 2,143.12 : x
  2. Step 2: Convert to fraction form
    4,742.02/7,113.02 = 2,143.12/x
  3. Step 3: Cross multiply
    4,742.02x = 7,113.02 × 2,143.12
  4. Step 4: Simplify right side
    4,742.02x = 15,244,055.42
  5. Step 5: Solve for x
    x = 15,244,055.42/4,742.02
  6. Step 6: Final answer
    x = 3,214.68

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Similar ratio
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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.