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Finding the Fourth Proportional to 5,213.40, 7,821.94 and 2,291.94

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Solution

The fourth proportional to 5,213.40, 7,821.94 and 2,291.94 is: 3,438.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.40 : 7,821.94 = 2,291.94 : x
  2. Step 2: Convert to fraction form
    5,213.40/7,821.94 = 2,291.94/x
  3. Step 3: Cross multiply
    5,213.40x = 7,821.94 × 2,291.94
  4. Step 4: Simplify right side
    5,213.40x = 17,927,417.16
  5. Step 5: Solve for x
    x = 17,927,417.16/5,213.40
  6. Step 6: Final answer
    x = 3,438.72

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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.