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Finding the Fourth Proportional to 4,735.29, 7,102.92 and 4,728.45

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Solution

The fourth proportional to 4,735.29, 7,102.92 and 4,728.45 is: 7,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.29 : 7,102.92 = 4,728.45 : x
  2. Step 2: Convert to fraction form
    4,735.29/7,102.92 = 4,728.45/x
  3. Step 3: Cross multiply
    4,735.29x = 7,102.92 × 4,728.45
  4. Step 4: Simplify right side
    4,735.29x = 33,585,802.07
  5. Step 5: Solve for x
    x = 33,585,802.07/4,735.29
  6. Step 6: Final answer
    x = 7,092.66

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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.