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Finding the Fourth Proportional to 5,216.40, 7,812.45 and 3,977.10

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Solution

The fourth proportional to 5,216.40, 7,812.45 and 3,977.10 is: 5,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.40 : 7,812.45 = 3,977.10 : x
  2. Step 2: Convert to fraction form
    5,216.40/7,812.45 = 3,977.10/x
  3. Step 3: Cross multiply
    5,216.40x = 7,812.45 × 3,977.10
  4. Step 4: Simplify right side
    5,216.40x = 31,070,894.90
  5. Step 5: Solve for x
    x = 31,070,894.90/5,216.40
  6. Step 6: Final answer
    x = 5,956.39

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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.