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Finding the Fourth Proportional to 5,660.09, 7,810.97 and 3,423.45

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Solution

The fourth proportional to 5,660.09, 7,810.97 and 3,423.45 is: 4,724.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.09 : 7,810.97 = 3,423.45 : x
  2. Step 2: Convert to fraction form
    5,660.09/7,810.97 = 3,423.45/x
  3. Step 3: Cross multiply
    5,660.09x = 7,810.97 × 3,423.45
  4. Step 4: Simplify right side
    5,660.09x = 26,740,448.13
  5. Step 5: Solve for x
    x = 26,740,448.13/5,660.09
  6. Step 6: Final answer
    x = 4,724.39

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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.