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Finding the Fourth Proportional to 5,732.49, 7,914.63 and 4,403.82

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Solution

The fourth proportional to 5,732.49, 7,914.63 and 4,403.82 is: 6,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.49 : 7,914.63 = 4,403.82 : x
  2. Step 2: Convert to fraction form
    5,732.49/7,914.63 = 4,403.82/x
  3. Step 3: Cross multiply
    5,732.49x = 7,914.63 × 4,403.82
  4. Step 4: Simplify right side
    5,732.49x = 34,854,605.89
  5. Step 5: Solve for x
    x = 34,854,605.89/5,732.49
  6. Step 6: Final answer
    x = 6,080.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.