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Finding the Fourth Proportional to 5,584.80, 7,707.15 and 3,032.66

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Solution

The fourth proportional to 5,584.80, 7,707.15 and 3,032.66 is: 4,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.80 : 7,707.15 = 3,032.66 : x
  2. Step 2: Convert to fraction form
    5,584.80/7,707.15 = 3,032.66/x
  3. Step 3: Cross multiply
    5,584.80x = 7,707.15 × 3,032.66
  4. Step 4: Simplify right side
    5,584.80x = 23,373,186.74
  5. Step 5: Solve for x
    x = 23,373,186.74/5,584.80
  6. Step 6: Final answer
    x = 4,185.14

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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.