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Finding the Fourth Proportional to 4,829.29, 7,245.31 and 1,542.64

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Solution

The fourth proportional to 4,829.29, 7,245.31 and 1,542.64 is: 2,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.29 : 7,245.31 = 1,542.64 : x
  2. Step 2: Convert to fraction form
    4,829.29/7,245.31 = 1,542.64/x
  3. Step 3: Cross multiply
    4,829.29x = 7,245.31 × 1,542.64
  4. Step 4: Simplify right side
    4,829.29x = 11,176,905.02
  5. Step 5: Solve for x
    x = 11,176,905.02/4,829.29
  6. Step 6: Final answer
    x = 2,314.40

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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.