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Finding the Fourth Proportional to 4,700.68, 7,052.22 and 1,581.16

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Solution

The fourth proportional to 4,700.68, 7,052.22 and 1,581.16 is: 2,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.68 : 7,052.22 = 1,581.16 : x
  2. Step 2: Convert to fraction form
    4,700.68/7,052.22 = 1,581.16/x
  3. Step 3: Cross multiply
    4,700.68x = 7,052.22 × 1,581.16
  4. Step 4: Simplify right side
    4,700.68x = 11,150,688.18
  5. Step 5: Solve for x
    x = 11,150,688.18/4,700.68
  6. Step 6: Final answer
    x = 2,372.14

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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.