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Finding the Fourth Proportional to 4,702.02, 7,046.01 and 4,287.09

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Solution

The fourth proportional to 4,702.02, 7,046.01 and 4,287.09 is: 6,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.02 : 7,046.01 = 4,287.09 : x
  2. Step 2: Convert to fraction form
    4,702.02/7,046.01 = 4,287.09/x
  3. Step 3: Cross multiply
    4,702.02x = 7,046.01 × 4,287.09
  4. Step 4: Simplify right side
    4,702.02x = 30,206,879.01
  5. Step 5: Solve for x
    x = 30,206,879.01/4,702.02
  6. Step 6: Final answer
    x = 6,424.23

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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.