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Finding the Fourth Proportional to 4,957.80, 7,430.22 and 2,032.80

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Solution

The fourth proportional to 4,957.80, 7,430.22 and 2,032.80 is: 3,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.80 : 7,430.22 = 2,032.80 : x
  2. Step 2: Convert to fraction form
    4,957.80/7,430.22 = 2,032.80/x
  3. Step 3: Cross multiply
    4,957.80x = 7,430.22 × 2,032.80
  4. Step 4: Simplify right side
    4,957.80x = 15,104,151.22
  5. Step 5: Solve for x
    x = 15,104,151.22/4,957.80
  6. Step 6: Final answer
    x = 3,046.54

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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.