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Finding the Fourth Proportional to 5,369.29, 7,409.40 and 3,011.38

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Solution

The fourth proportional to 5,369.29, 7,409.40 and 3,011.38 is: 4,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.29 : 7,409.40 = 3,011.38 : x
  2. Step 2: Convert to fraction form
    5,369.29/7,409.40 = 3,011.38/x
  3. Step 3: Cross multiply
    5,369.29x = 7,409.40 × 3,011.38
  4. Step 4: Simplify right side
    5,369.29x = 22,312,518.97
  5. Step 5: Solve for x
    x = 22,312,518.97/5,369.29
  6. Step 6: Final answer
    x = 4,155.58

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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.