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Finding the Fourth Proportional to 5,582.38, 7,706.74 and 3,816.58

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Solution

The fourth proportional to 5,582.38, 7,706.74 and 3,816.58 is: 5,268.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.38 : 7,706.74 = 3,816.58 : x
  2. Step 2: Convert to fraction form
    5,582.38/7,706.74 = 3,816.58/x
  3. Step 3: Cross multiply
    5,582.38x = 7,706.74 × 3,816.58
  4. Step 4: Simplify right side
    5,582.38x = 29,413,389.75
  5. Step 5: Solve for x
    x = 29,413,389.75/5,582.38
  6. Step 6: Final answer
    x = 5,268.97

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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.