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Finding the Fourth Proportional to 4,782.33, 7,162.55 and 4,702.14

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Solution

The fourth proportional to 4,782.33, 7,162.55 and 4,702.14 is: 7,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.33 : 7,162.55 = 4,702.14 : x
  2. Step 2: Convert to fraction form
    4,782.33/7,162.55 = 4,702.14/x
  3. Step 3: Cross multiply
    4,782.33x = 7,162.55 × 4,702.14
  4. Step 4: Simplify right side
    4,782.33x = 33,679,289.35
  5. Step 5: Solve for x
    x = 33,679,289.35/4,782.33
  6. Step 6: Final answer
    x = 7,042.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.