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Finding the Fourth Proportional to 4,230.59, 6,347.30 and 1,459.17

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Solution

The fourth proportional to 4,230.59, 6,347.30 and 1,459.17 is: 2,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.59 : 6,347.30 = 1,459.17 : x
  2. Step 2: Convert to fraction form
    4,230.59/6,347.30 = 1,459.17/x
  3. Step 3: Cross multiply
    4,230.59x = 6,347.30 × 1,459.17
  4. Step 4: Simplify right side
    4,230.59x = 9,261,782.45
  5. Step 5: Solve for x
    x = 9,261,782.45/4,230.59
  6. Step 6: Final answer
    x = 2,189.24

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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.