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Finding the Fourth Proportional to 4,885.40, 7,314.30 and 3,802.40

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Solution

The fourth proportional to 4,885.40, 7,314.30 and 3,802.40 is: 5,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.40 : 7,314.30 = 3,802.40 : x
  2. Step 2: Convert to fraction form
    4,885.40/7,314.30 = 3,802.40/x
  3. Step 3: Cross multiply
    4,885.40x = 7,314.30 × 3,802.40
  4. Step 4: Simplify right side
    4,885.40x = 27,811,894.32
  5. Step 5: Solve for x
    x = 27,811,894.32/4,885.40
  6. Step 6: Final answer
    x = 5,692.86

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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.