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Finding the Fourth Proportional to 6,495.42, 8,962.80 and 3,662.58

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Solution

The fourth proportional to 6,495.42, 8,962.80 and 3,662.58 is: 5,053.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.42 : 8,962.80 = 3,662.58 : x
  2. Step 2: Convert to fraction form
    6,495.42/8,962.80 = 3,662.58/x
  3. Step 3: Cross multiply
    6,495.42x = 8,962.80 × 3,662.58
  4. Step 4: Simplify right side
    6,495.42x = 32,826,972.02
  5. Step 5: Solve for x
    x = 32,826,972.02/6,495.42
  6. Step 6: Final answer
    x = 5,053.86

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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.