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Finding the Fourth Proportional to 4,617.21, 6,892.54 and 4,289.16

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Solution

The fourth proportional to 4,617.21, 6,892.54 and 4,289.16 is: 6,402.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.21 : 6,892.54 = 4,289.16 : x
  2. Step 2: Convert to fraction form
    4,617.21/6,892.54 = 4,289.16/x
  3. Step 3: Cross multiply
    4,617.21x = 6,892.54 × 4,289.16
  4. Step 4: Simplify right side
    4,617.21x = 29,563,206.87
  5. Step 5: Solve for x
    x = 29,563,206.87/4,617.21
  6. Step 6: Final answer
    x = 6,402.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.