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Finding the Fourth Proportional to 5,796.80, 8,658.40 and 4,977.44

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Solution

The fourth proportional to 5,796.80, 8,658.40 and 4,977.44 is: 7,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.80 : 8,658.40 = 4,977.44 : x
  2. Step 2: Convert to fraction form
    5,796.80/8,658.40 = 4,977.44/x
  3. Step 3: Cross multiply
    5,796.80x = 8,658.40 × 4,977.44
  4. Step 4: Simplify right side
    5,796.80x = 43,096,666.50
  5. Step 5: Solve for x
    x = 43,096,666.50/5,796.80
  6. Step 6: Final answer
    x = 7,434.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.