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Finding the Fourth Proportional to 4,379.49, 6,570.25 and 1,457.82

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Solution

The fourth proportional to 4,379.49, 6,570.25 and 1,457.82 is: 2,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.49 : 6,570.25 = 1,457.82 : x
  2. Step 2: Convert to fraction form
    4,379.49/6,570.25 = 1,457.82/x
  3. Step 3: Cross multiply
    4,379.49x = 6,570.25 × 1,457.82
  4. Step 4: Simplify right side
    4,379.49x = 9,578,238.21
  5. Step 5: Solve for x
    x = 9,578,238.21/4,379.49
  6. Step 6: Final answer
    x = 2,187.07

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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.