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Finding the Fourth Proportional to 4,984.90, 7,477.56 and 1,864.60

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Solution

The fourth proportional to 4,984.90, 7,477.56 and 1,864.60 is: 2,796.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.90 : 7,477.56 = 1,864.60 : x
  2. Step 2: Convert to fraction form
    4,984.90/7,477.56 = 1,864.60/x
  3. Step 3: Cross multiply
    4,984.90x = 7,477.56 × 1,864.60
  4. Step 4: Simplify right side
    4,984.90x = 13,942,658.38
  5. Step 5: Solve for x
    x = 13,942,658.38/4,984.90
  6. Step 6: Final answer
    x = 2,796.98

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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.