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Finding the Fourth Proportional to 4,563.90, 6,846.53 and 1,444.19

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Solution

The fourth proportional to 4,563.90, 6,846.53 and 1,444.19 is: 2,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.90 : 6,846.53 = 1,444.19 : x
  2. Step 2: Convert to fraction form
    4,563.90/6,846.53 = 1,444.19/x
  3. Step 3: Cross multiply
    4,563.90x = 6,846.53 × 1,444.19
  4. Step 4: Simplify right side
    4,563.90x = 9,887,648.71
  5. Step 5: Solve for x
    x = 9,887,648.71/4,563.90
  6. Step 6: Final answer
    x = 2,166.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.