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Finding the Fourth Proportional to 5,590.75, 7,712.02 and 3,491.23

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Solution

The fourth proportional to 5,590.75, 7,712.02 and 3,491.23 is: 4,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,590.75 : 7,712.02 = 3,491.23 : x
  2. Step 2: Convert to fraction form
    5,590.75/7,712.02 = 3,491.23/x
  3. Step 3: Cross multiply
    5,590.75x = 7,712.02 × 3,491.23
  4. Step 4: Simplify right side
    5,590.75x = 26,924,435.58
  5. Step 5: Solve for x
    x = 26,924,435.58/5,590.75
  6. Step 6: Final answer
    x = 4,815.89

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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.