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Finding the Fourth Proportional to 5,431.34, 8,138.04 and 4,977.39

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Solution

The fourth proportional to 5,431.34, 8,138.04 and 4,977.39 is: 7,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.34 : 8,138.04 = 4,977.39 : x
  2. Step 2: Convert to fraction form
    5,431.34/8,138.04 = 4,977.39/x
  3. Step 3: Cross multiply
    5,431.34x = 8,138.04 × 4,977.39
  4. Step 4: Simplify right side
    5,431.34x = 40,506,198.92
  5. Step 5: Solve for x
    x = 40,506,198.92/5,431.34
  6. Step 6: Final answer
    x = 7,457.87

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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.