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Finding the Fourth Proportional to 5,090.14, 7,636.30 and 1,580.07

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Solution

The fourth proportional to 5,090.14, 7,636.30 and 1,580.07 is: 2,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,090.14 : 7,636.30 = 1,580.07 : x
  2. Step 2: Convert to fraction form
    5,090.14/7,636.30 = 1,580.07/x
  3. Step 3: Cross multiply
    5,090.14x = 7,636.30 × 1,580.07
  4. Step 4: Simplify right side
    5,090.14x = 12,065,888.54
  5. Step 5: Solve for x
    x = 12,065,888.54/5,090.14
  6. Step 6: Final answer
    x = 2,370.44

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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.