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Finding the Fourth Proportional to 4,597.47, 6,344.29 and 2,709.13

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Solution

The fourth proportional to 4,597.47, 6,344.29 and 2,709.13 is: 3,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.47 : 6,344.29 = 2,709.13 : x
  2. Step 2: Convert to fraction form
    4,597.47/6,344.29 = 2,709.13/x
  3. Step 3: Cross multiply
    4,597.47x = 6,344.29 × 2,709.13
  4. Step 4: Simplify right side
    4,597.47x = 17,187,506.37
  5. Step 5: Solve for x
    x = 17,187,506.37/4,597.47
  6. Step 6: Final answer
    x = 3,738.47

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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.