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Finding the Fourth Proportional to 6,454.98, 8,909.24 and 3,802.94

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Solution

The fourth proportional to 6,454.98, 8,909.24 and 3,802.94 is: 5,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.98 : 8,909.24 = 3,802.94 : x
  2. Step 2: Convert to fraction form
    6,454.98/8,909.24 = 3,802.94/x
  3. Step 3: Cross multiply
    6,454.98x = 8,909.24 × 3,802.94
  4. Step 4: Simplify right side
    6,454.98x = 33,881,241.60
  5. Step 5: Solve for x
    x = 33,881,241.60/6,454.98
  6. Step 6: Final answer
    x = 5,248.85

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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.