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Finding the Fourth Proportional to 3,574.96, 5,362.22 and 2,123.35

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Solution

The fourth proportional to 3,574.96, 5,362.22 and 2,123.35 is: 3,184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.96 : 5,362.22 = 2,123.35 : x
  2. Step 2: Convert to fraction form
    3,574.96/5,362.22 = 2,123.35/x
  3. Step 3: Cross multiply
    3,574.96x = 5,362.22 × 2,123.35
  4. Step 4: Simplify right side
    3,574.96x = 11,385,861.74
  5. Step 5: Solve for x
    x = 11,385,861.74/3,574.96
  6. Step 6: Final answer
    x = 3,184.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.