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Finding the Fourth Proportional to 5,090.79, 7,636.70 and 1,758.59

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Solution

The fourth proportional to 5,090.79, 7,636.70 and 1,758.59 is: 2,638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.79 : 7,636.70 = 1,758.59 : x
  2. Step 2: Convert to fraction form
    5,090.79/7,636.70 = 1,758.59/x
  3. Step 3: Cross multiply
    5,090.79x = 7,636.70 × 1,758.59
  4. Step 4: Simplify right side
    5,090.79x = 13,429,777.28
  5. Step 5: Solve for x
    x = 13,429,777.28/5,090.79
  6. Step 6: Final answer
    x = 2,638.05

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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.