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Finding the Fourth Proportional to 6,453.34, 8,905.53 and 3,658.66

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Solution

The fourth proportional to 6,453.34, 8,905.53 and 3,658.66 is: 5,048.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.34 : 8,905.53 = 3,658.66 : x
  2. Step 2: Convert to fraction form
    6,453.34/8,905.53 = 3,658.66/x
  3. Step 3: Cross multiply
    6,453.34x = 8,905.53 × 3,658.66
  4. Step 4: Simplify right side
    6,453.34x = 32,582,306.39
  5. Step 5: Solve for x
    x = 32,582,306.39/6,453.34
  6. Step 6: Final answer
    x = 5,048.91

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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.