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Finding the Fourth Proportional to 5,157.09, 7,116.93 and 3,032.78

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Solution

The fourth proportional to 5,157.09, 7,116.93 and 3,032.78 is: 4,185.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.09 : 7,116.93 = 3,032.78 : x
  2. Step 2: Convert to fraction form
    5,157.09/7,116.93 = 3,032.78/x
  3. Step 3: Cross multiply
    5,157.09x = 7,116.93 × 3,032.78
  4. Step 4: Simplify right side
    5,157.09x = 21,584,047.38
  5. Step 5: Solve for x
    x = 21,584,047.38/5,157.09
  6. Step 6: Final answer
    x = 4,185.32

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Why These Related Problems?

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