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Finding the Fourth Proportional to 4,996.94, 7,494.10 and 1,486.00

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Solution

The fourth proportional to 4,996.94, 7,494.10 and 1,486.00 is: 2,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.94 : 7,494.10 = 1,486.00 : x
  2. Step 2: Convert to fraction form
    4,996.94/7,494.10 = 1,486.00/x
  3. Step 3: Cross multiply
    4,996.94x = 7,494.10 × 1,486.00
  4. Step 4: Simplify right side
    4,996.94x = 11,136,193.31
  5. Step 5: Solve for x
    x = 11,136,193.31/4,996.94
  6. Step 6: Final answer
    x = 2,228.60

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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.