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Finding the Fourth Proportional to 4,824.62, 7,239.65 and 2,980.25

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Solution

The fourth proportional to 4,824.62, 7,239.65 and 2,980.25 is: 4,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.62 : 7,239.65 = 2,980.25 : x
  2. Step 2: Convert to fraction form
    4,824.62/7,239.65 = 2,980.25/x
  3. Step 3: Cross multiply
    4,824.62x = 7,239.65 × 2,980.25
  4. Step 4: Simplify right side
    4,824.62x = 21,575,966.91
  5. Step 5: Solve for x
    x = 21,575,966.91/4,824.62
  6. Step 6: Final answer
    x = 4,472.06

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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.