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Finding the Fourth Proportional to 3,590.94, 4,956 and 2,174.79

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Solution

The fourth proportional to 3,590.94, 4,956 and 2,174.79 is: 3,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.94 : 4,956 = 2,174.79 : x
  2. Step 2: Convert to fraction form
    3,590.94/4,956 = 2,174.79/x
  3. Step 3: Cross multiply
    3,590.94x = 4,956 × 2,174.79
  4. Step 4: Simplify right side
    3,590.94x = 10,778,234.46
  5. Step 5: Solve for x
    x = 10,778,234.46/3,590.94
  6. Step 6: Final answer
    x = 3,001.51

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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.