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Finding the Fourth Proportional to 4,459.57, 6,156.53 and 4,165.09

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Solution

The fourth proportional to 4,459.57, 6,156.53 and 4,165.09 is: 5,749.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.57 : 6,156.53 = 4,165.09 : x
  2. Step 2: Convert to fraction form
    4,459.57/6,156.53 = 4,165.09/x
  3. Step 3: Cross multiply
    4,459.57x = 6,156.53 × 4,165.09
  4. Step 4: Simplify right side
    4,459.57x = 25,642,501.54
  5. Step 5: Solve for x
    x = 25,642,501.54/4,459.57
  6. Step 6: Final answer
    x = 5,749.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.