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Finding the Fourth Proportional to 5,318.46, 7,977.69 and 1,854.90

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Solution

The fourth proportional to 5,318.46, 7,977.69 and 1,854.90 is: 2,782.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.46 : 7,977.69 = 1,854.90 : x
  2. Step 2: Convert to fraction form
    5,318.46/7,977.69 = 1,854.90/x
  3. Step 3: Cross multiply
    5,318.46x = 7,977.69 × 1,854.90
  4. Step 4: Simplify right side
    5,318.46x = 14,797,817.18
  5. Step 5: Solve for x
    x = 14,797,817.18/5,318.46
  6. Step 6: Final answer
    x = 2,782.35

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Why These Related Problems?

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