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Finding the Fourth Proportional to 3,678.63, 5,076.63 and 2,106.72

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Solution

The fourth proportional to 3,678.63, 5,076.63 and 2,106.72 is: 2,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.63 : 5,076.63 = 2,106.72 : x
  2. Step 2: Convert to fraction form
    3,678.63/5,076.63 = 2,106.72/x
  3. Step 3: Cross multiply
    3,678.63x = 5,076.63 × 2,106.72
  4. Step 4: Simplify right side
    3,678.63x = 10,695,037.95
  5. Step 5: Solve for x
    x = 10,695,037.95/3,678.63
  6. Step 6: Final answer
    x = 2,907.34

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