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Finding the Fourth Proportional to 5,904.51, 8,157.18 and 4,409.85

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Solution

The fourth proportional to 5,904.51, 8,157.18 and 4,409.85 is: 6,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.51 : 8,157.18 = 4,409.85 : x
  2. Step 2: Convert to fraction form
    5,904.51/8,157.18 = 4,409.85/x
  3. Step 3: Cross multiply
    5,904.51x = 8,157.18 × 4,409.85
  4. Step 4: Simplify right side
    5,904.51x = 35,971,940.22
  5. Step 5: Solve for x
    x = 35,971,940.22/5,904.51
  6. Step 6: Final answer
    x = 6,092.28

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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.