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Finding the Fourth Proportional to 5,164.34, 7,117.62 and 4,214.04

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Solution

The fourth proportional to 5,164.34, 7,117.62 and 4,214.04 is: 5,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.34 : 7,117.62 = 4,214.04 : x
  2. Step 2: Convert to fraction form
    5,164.34/7,117.62 = 4,214.04/x
  3. Step 3: Cross multiply
    5,164.34x = 7,117.62 × 4,214.04
  4. Step 4: Simplify right side
    5,164.34x = 29,993,935.38
  5. Step 5: Solve for x
    x = 29,993,935.38/5,164.34
  6. Step 6: Final answer
    x = 5,807.89

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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.