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Finding the Fourth Proportional to 4,379.45, 6,570.22 and 1,457.78

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Solution

The fourth proportional to 4,379.45, 6,570.22 and 1,457.78 is: 2,187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,379.45 : 6,570.22 = 1,457.78 : x
  2. Step 2: Convert to fraction form
    4,379.45/6,570.22 = 1,457.78/x
  3. Step 3: Cross multiply
    4,379.45x = 6,570.22 × 1,457.78
  4. Step 4: Simplify right side
    4,379.45x = 9,577,935.31
  5. Step 5: Solve for x
    x = 9,577,935.31/4,379.45
  6. Step 6: Final answer
    x = 2,187.02

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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.