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Finding the Fourth Proportional to 6,455.75, 8,907.57 and 4,220.91

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Solution

The fourth proportional to 6,455.75, 8,907.57 and 4,220.91 is: 5,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.75 : 8,907.57 = 4,220.91 : x
  2. Step 2: Convert to fraction form
    6,455.75/8,907.57 = 4,220.91/x
  3. Step 3: Cross multiply
    6,455.75x = 8,907.57 × 4,220.91
  4. Step 4: Simplify right side
    6,455.75x = 37,598,051.29
  5. Step 5: Solve for x
    x = 37,598,051.29/6,455.75
  6. Step 6: Final answer
    x = 5,823.96

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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.