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Finding the Fourth Proportional to 4,820.96, 7,232.02 and 1,358.22

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Solution

The fourth proportional to 4,820.96, 7,232.02 and 1,358.22 is: 2,037.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.96 : 7,232.02 = 1,358.22 : x
  2. Step 2: Convert to fraction form
    4,820.96/7,232.02 = 1,358.22/x
  3. Step 3: Cross multiply
    4,820.96x = 7,232.02 × 1,358.22
  4. Step 4: Simplify right side
    4,820.96x = 9,822,674.20
  5. Step 5: Solve for x
    x = 9,822,674.20/4,820.96
  6. Step 6: Final answer
    x = 2,037.49

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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.