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Finding the Fourth Proportional to 5,582.34, 7,708.82 and 3,596.34

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Solution

The fourth proportional to 5,582.34, 7,708.82 and 3,596.34 is: 4,966.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.34 : 7,708.82 = 3,596.34 : x
  2. Step 2: Convert to fraction form
    5,582.34/7,708.82 = 3,596.34/x
  3. Step 3: Cross multiply
    5,582.34x = 7,708.82 × 3,596.34
  4. Step 4: Simplify right side
    5,582.34x = 27,723,519.74
  5. Step 5: Solve for x
    x = 27,723,519.74/5,582.34
  6. Step 6: Final answer
    x = 4,966.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.