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Finding the Fourth Proportional to 5,318.34, 7,977.54 and 1,855.62

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Solution

The fourth proportional to 5,318.34, 7,977.54 and 1,855.62 is: 2,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.34 : 7,977.54 = 1,855.62 : x
  2. Step 2: Convert to fraction form
    5,318.34/7,977.54 = 1,855.62/x
  3. Step 3: Cross multiply
    5,318.34x = 7,977.54 × 1,855.62
  4. Step 4: Simplify right side
    5,318.34x = 14,803,282.77
  5. Step 5: Solve for x
    x = 14,803,282.77/5,318.34
  6. Step 6: Final answer
    x = 2,783.44

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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.