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Finding the Fourth Proportional to 4,957.13, 7,426.50 and 3,548.64

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Solution

The fourth proportional to 4,957.13, 7,426.50 and 3,548.64 is: 5,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.13 : 7,426.50 = 3,548.64 : x
  2. Step 2: Convert to fraction form
    4,957.13/7,426.50 = 3,548.64/x
  3. Step 3: Cross multiply
    4,957.13x = 7,426.50 × 3,548.64
  4. Step 4: Simplify right side
    4,957.13x = 26,353,974.96
  5. Step 5: Solve for x
    x = 26,353,974.96/4,957.13
  6. Step 6: Final answer
    x = 5,316.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.