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Finding the Fourth Proportional to 4,459.68, 6,150.24 and 2,886

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Solution

The fourth proportional to 4,459.68, 6,150.24 and 2,886 is: 3,980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,459.68 : 6,150.24 = 2,886 : x
  2. Step 2: Convert to fraction form
    4,459.68/6,150.24 = 2,886/x
  3. Step 3: Cross multiply
    4,459.68x = 6,150.24 × 2,886
  4. Step 4: Simplify right side
    4,459.68x = 17,749,592.64
  5. Step 5: Solve for x
    x = 17,749,592.64/4,459.68
  6. Step 6: Final answer
    x = 3,980.01

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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.