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Finding the Fourth Proportional to 4,789.98, 7,142.00 and 4,702.50

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Solution

The fourth proportional to 4,789.98, 7,142.00 and 4,702.50 is: 7,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.98 : 7,142.00 = 4,702.50 : x
  2. Step 2: Convert to fraction form
    4,789.98/7,142.00 = 4,702.50/x
  3. Step 3: Cross multiply
    4,789.98x = 7,142.00 × 4,702.50
  4. Step 4: Simplify right side
    4,789.98x = 33,585,231.49
  5. Step 5: Solve for x
    x = 33,585,231.49/4,789.98
  6. Step 6: Final answer
    x = 7,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.