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Finding the Fourth Proportional to 4,922.93, 7,382.75 and 1,802.34

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Solution

The fourth proportional to 4,922.93, 7,382.75 and 1,802.34 is: 2,702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.93 : 7,382.75 = 1,802.34 : x
  2. Step 2: Convert to fraction form
    4,922.93/7,382.75 = 1,802.34/x
  3. Step 3: Cross multiply
    4,922.93x = 7,382.75 × 1,802.34
  4. Step 4: Simplify right side
    4,922.93x = 13,306,216.62
  5. Step 5: Solve for x
    x = 13,306,216.62/4,922.93
  6. Step 6: Final answer
    x = 2,702.90

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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.