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Finding the Fourth Proportional to 4,677.30, 7,003.80 and 3,024.90

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Solution

The fourth proportional to 4,677.30, 7,003.80 and 3,024.90 is: 4,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.30 : 7,003.80 = 3,024.90 : x
  2. Step 2: Convert to fraction form
    4,677.30/7,003.80 = 3,024.90/x
  3. Step 3: Cross multiply
    4,677.30x = 7,003.80 × 3,024.90
  4. Step 4: Simplify right side
    4,677.30x = 21,185,794.62
  5. Step 5: Solve for x
    x = 21,185,794.62/4,677.30
  6. Step 6: Final answer
    x = 4,529.49

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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.