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Finding the Fourth Proportional to 3,699.64, 5,106.18 and 2,128.69

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Solution

The fourth proportional to 3,699.64, 5,106.18 and 2,128.69 is: 2,937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.64 : 5,106.18 = 2,128.69 : x
  2. Step 2: Convert to fraction form
    3,699.64/5,106.18 = 2,128.69/x
  3. Step 3: Cross multiply
    3,699.64x = 5,106.18 × 2,128.69
  4. Step 4: Simplify right side
    3,699.64x = 10,869,474.30
  5. Step 5: Solve for x
    x = 10,869,474.30/3,699.64
  6. Step 6: Final answer
    x = 2,937.98

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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.