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Finding the Fourth Proportional to 5,402.79, 7,446.98 and 5,304.38

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Solution

The fourth proportional to 5,402.79, 7,446.98 and 5,304.38 is: 7,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.79 : 7,446.98 = 5,304.38 : x
  2. Step 2: Convert to fraction form
    5,402.79/7,446.98 = 5,304.38/x
  3. Step 3: Cross multiply
    5,402.79x = 7,446.98 × 5,304.38
  4. Step 4: Simplify right side
    5,402.79x = 39,501,548.02
  5. Step 5: Solve for x
    x = 39,501,548.02/5,402.79
  6. Step 6: Final answer
    x = 7,311.32

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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.