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Finding the Fourth Proportional to 6,090.14, 9,136.17 and 2,580.16

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Solution

The fourth proportional to 6,090.14, 9,136.17 and 2,580.16 is: 3,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.14 : 9,136.17 = 2,580.16 : x
  2. Step 2: Convert to fraction form
    6,090.14/9,136.17 = 2,580.16/x
  3. Step 3: Cross multiply
    6,090.14x = 9,136.17 × 2,580.16
  4. Step 4: Simplify right side
    6,090.14x = 23,572,721.81
  5. Step 5: Solve for x
    x = 23,572,721.81/6,090.14
  6. Step 6: Final answer
    x = 3,870.64

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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.