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Finding the Fourth Proportional to 5,356, 7,383.18 and 4,605.94

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Solution

The fourth proportional to 5,356, 7,383.18 and 4,605.94 is: 6,349.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356 : 7,383.18 = 4,605.94 : x
  2. Step 2: Convert to fraction form
    5,356/7,383.18 = 4,605.94/x
  3. Step 3: Cross multiply
    5,356x = 7,383.18 × 4,605.94
  4. Step 4: Simplify right side
    5,356x = 34,006,484.09
  5. Step 5: Solve for x
    x = 34,006,484.09/5,356
  6. Step 6: Final answer
    x = 6,349.23

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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.