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Finding the Fourth Proportional to 6,357.96, 8,776.35 and 4,122.36

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Solution

The fourth proportional to 6,357.96, 8,776.35 and 4,122.36 is: 5,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.96 : 8,776.35 = 4,122.36 : x
  2. Step 2: Convert to fraction form
    6,357.96/8,776.35 = 4,122.36/x
  3. Step 3: Cross multiply
    6,357.96x = 8,776.35 × 4,122.36
  4. Step 4: Simplify right side
    6,357.96x = 36,179,274.19
  5. Step 5: Solve for x
    x = 36,179,274.19/6,357.96
  6. Step 6: Final answer
    x = 5,690.39

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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.