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Finding the Fourth Proportional to 4,696.38, 6,482.84 and 2,708.64

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Solution

The fourth proportional to 4,696.38, 6,482.84 and 2,708.64 is: 3,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.38 : 6,482.84 = 2,708.64 : x
  2. Step 2: Convert to fraction form
    4,696.38/6,482.84 = 2,708.64/x
  3. Step 3: Cross multiply
    4,696.38x = 6,482.84 × 2,708.64
  4. Step 4: Simplify right side
    4,696.38x = 17,559,666.19
  5. Step 5: Solve for x
    x = 17,559,666.19/4,696.38
  6. Step 6: Final answer
    x = 3,738.98

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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.