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Finding the Fourth Proportional to 4,905.86, 6,772.50 and 3,342.16

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Solution

The fourth proportional to 4,905.86, 6,772.50 and 3,342.16 is: 4,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.86 : 6,772.50 = 3,342.16 : x
  2. Step 2: Convert to fraction form
    4,905.86/6,772.50 = 3,342.16/x
  3. Step 3: Cross multiply
    4,905.86x = 6,772.50 × 3,342.16
  4. Step 4: Simplify right side
    4,905.86x = 22,634,728.03
  5. Step 5: Solve for x
    x = 22,634,728.03/4,905.86
  6. Step 6: Final answer
    x = 4,613.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.