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Finding the Fourth Proportional to 4,977.64, 7,462.34 and 1,855.92

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Solution

The fourth proportional to 4,977.64, 7,462.34 and 1,855.92 is: 2,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.64 : 7,462.34 = 1,855.92 : x
  2. Step 2: Convert to fraction form
    4,977.64/7,462.34 = 1,855.92/x
  3. Step 3: Cross multiply
    4,977.64x = 7,462.34 × 1,855.92
  4. Step 4: Simplify right side
    4,977.64x = 13,849,506.05
  5. Step 5: Solve for x
    x = 13,849,506.05/4,977.64
  6. Step 6: Final answer
    x = 2,782.34

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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.