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Finding the Fourth Proportional to 4,678.64, 7,013.82 and 1,907.63

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Solution

The fourth proportional to 4,678.64, 7,013.82 and 1,907.63 is: 2,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.64 : 7,013.82 = 1,907.63 : x
  2. Step 2: Convert to fraction form
    4,678.64/7,013.82 = 1,907.63/x
  3. Step 3: Cross multiply
    4,678.64x = 7,013.82 × 1,907.63
  4. Step 4: Simplify right side
    4,678.64x = 13,379,738.38
  5. Step 5: Solve for x
    x = 13,379,738.38/4,678.64
  6. Step 6: Final answer
    x = 2,859.75

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