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Finding the Fourth Proportional to 4,138.65, 5,708.70 and 2,646.03

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Solution

The fourth proportional to 4,138.65, 5,708.70 and 2,646.03 is: 3,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.65 : 5,708.70 = 2,646.03 : x
  2. Step 2: Convert to fraction form
    4,138.65/5,708.70 = 2,646.03/x
  3. Step 3: Cross multiply
    4,138.65x = 5,708.70 × 2,646.03
  4. Step 4: Simplify right side
    4,138.65x = 15,105,391.46
  5. Step 5: Solve for x
    x = 15,105,391.46/4,138.65
  6. Step 6: Final answer
    x = 3,649.84

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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.