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Finding the Fourth Proportional to 5,157.64, 7,764.19 and 4,405.96

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Solution

The fourth proportional to 5,157.64, 7,764.19 and 4,405.96 is: 6,632.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.64 : 7,764.19 = 4,405.96 : x
  2. Step 2: Convert to fraction form
    5,157.64/7,764.19 = 4,405.96/x
  3. Step 3: Cross multiply
    5,157.64x = 7,764.19 × 4,405.96
  4. Step 4: Simplify right side
    5,157.64x = 34,208,710.57
  5. Step 5: Solve for x
    x = 34,208,710.57/5,157.64
  6. Step 6: Final answer
    x = 6,632.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.