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Finding the Fourth Proportional to 4,230.29, 6,346.40 and 1,457.00

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Solution

The fourth proportional to 4,230.29, 6,346.40 and 1,457.00 is: 2,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.29 : 6,346.40 = 1,457.00 : x
  2. Step 2: Convert to fraction form
    4,230.29/6,346.40 = 1,457.00/x
  3. Step 3: Cross multiply
    4,230.29x = 6,346.40 × 1,457.00
  4. Step 4: Simplify right side
    4,230.29x = 9,246,665.78
  5. Step 5: Solve for x
    x = 9,246,665.78/4,230.29
  6. Step 6: Final answer
    x = 2,185.83

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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.