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Finding the Fourth Proportional to 4,686.92, 7,033.20 and 2,090.06

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Solution

The fourth proportional to 4,686.92, 7,033.20 and 2,090.06 is: 3,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.92 : 7,033.20 = 2,090.06 : x
  2. Step 2: Convert to fraction form
    4,686.92/7,033.20 = 2,090.06/x
  3. Step 3: Cross multiply
    4,686.92x = 7,033.20 × 2,090.06
  4. Step 4: Simplify right side
    4,686.92x = 14,699,809.99
  5. Step 5: Solve for x
    x = 14,699,809.99/4,686.92
  6. Step 6: Final answer
    x = 3,136.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.