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Finding the Fourth Proportional to 4,232.64, 6,349.12 and 1,459.30

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Solution

The fourth proportional to 4,232.64, 6,349.12 and 1,459.30 is: 2,189.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.64 : 6,349.12 = 1,459.30 : x
  2. Step 2: Convert to fraction form
    4,232.64/6,349.12 = 1,459.30/x
  3. Step 3: Cross multiply
    4,232.64x = 6,349.12 × 1,459.30
  4. Step 4: Simplify right side
    4,232.64x = 9,265,270.82
  5. Step 5: Solve for x
    x = 9,265,270.82/4,232.64
  6. Step 6: Final answer
    x = 2,189.01

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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.