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Finding the Fourth Proportional to 4,295.85, 6,444.99 and 1,523.22

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Solution

The fourth proportional to 4,295.85, 6,444.99 and 1,523.22 is: 2,285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.85 : 6,444.99 = 1,523.22 : x
  2. Step 2: Convert to fraction form
    4,295.85/6,444.99 = 1,523.22/x
  3. Step 3: Cross multiply
    4,295.85x = 6,444.99 × 1,523.22
  4. Step 4: Simplify right side
    4,295.85x = 9,817,137.67
  5. Step 5: Solve for x
    x = 9,817,137.67/4,295.85
  6. Step 6: Final answer
    x = 2,285.26

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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.