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Finding the Fourth Proportional to 6,417.57, 8,858.34 and 3,764.91

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Solution

The fourth proportional to 6,417.57, 8,858.34 and 3,764.91 is: 5,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.57 : 8,858.34 = 3,764.91 : x
  2. Step 2: Convert to fraction form
    6,417.57/8,858.34 = 3,764.91/x
  3. Step 3: Cross multiply
    6,417.57x = 8,858.34 × 3,764.91
  4. Step 4: Simplify right side
    6,417.57x = 33,350,852.85
  5. Step 5: Solve for x
    x = 33,350,852.85/6,417.57
  6. Step 6: Final answer
    x = 5,196.80

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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.