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Finding the Fourth Proportional to 6,102.94, 9,154.26 and 1,720.30

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Solution

The fourth proportional to 6,102.94, 9,154.26 and 1,720.30 is: 2,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.94 : 9,154.26 = 1,720.30 : x
  2. Step 2: Convert to fraction form
    6,102.94/9,154.26 = 1,720.30/x
  3. Step 3: Cross multiply
    6,102.94x = 9,154.26 × 1,720.30
  4. Step 4: Simplify right side
    6,102.94x = 15,748,073.48
  5. Step 5: Solve for x
    x = 15,748,073.48/6,102.94
  6. Step 6: Final answer
    x = 2,580.41

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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.