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Finding the Fourth Proportional to 5,736.17, 8,604.71 and 2,449.29

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Solution

The fourth proportional to 5,736.17, 8,604.71 and 2,449.29 is: 3,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.17 : 8,604.71 = 2,449.29 : x
  2. Step 2: Convert to fraction form
    5,736.17/8,604.71 = 2,449.29/x
  3. Step 3: Cross multiply
    5,736.17x = 8,604.71 × 2,449.29
  4. Step 4: Simplify right side
    5,736.17x = 21,075,430.16
  5. Step 5: Solve for x
    x = 21,075,430.16/5,736.17
  6. Step 6: Final answer
    x = 3,674.13

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1.5x scale

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.