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Finding the Fourth Proportional to 4,834.96, 7,254.48 and 2,062.24

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Solution

The fourth proportional to 4,834.96, 7,254.48 and 2,062.24 is: 3,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.96 : 7,254.48 = 2,062.24 : x
  2. Step 2: Convert to fraction form
    4,834.96/7,254.48 = 2,062.24/x
  3. Step 3: Cross multiply
    4,834.96x = 7,254.48 × 2,062.24
  4. Step 4: Simplify right side
    4,834.96x = 14,960,478.84
  5. Step 5: Solve for x
    x = 14,960,478.84/4,834.96
  6. Step 6: Final answer
    x = 3,094.23

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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.