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Finding the Fourth Proportional to 5,644.79, 7,792.93 and 3,407.23

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Solution

The fourth proportional to 5,644.79, 7,792.93 and 3,407.23 is: 4,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.79 : 7,792.93 = 3,407.23 : x
  2. Step 2: Convert to fraction form
    5,644.79/7,792.93 = 3,407.23/x
  3. Step 3: Cross multiply
    5,644.79x = 7,792.93 × 3,407.23
  4. Step 4: Simplify right side
    5,644.79x = 26,552,304.88
  5. Step 5: Solve for x
    x = 26,552,304.88/5,644.79
  6. Step 6: Final answer
    x = 4,703.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.