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Finding the Fourth Proportional to 3,857.69, 5,758.62 and 3,390.63

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Solution

The fourth proportional to 3,857.69, 5,758.62 and 3,390.63 is: 5,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.69 : 5,758.62 = 3,390.63 : x
  2. Step 2: Convert to fraction form
    3,857.69/5,758.62 = 3,390.63/x
  3. Step 3: Cross multiply
    3,857.69x = 5,758.62 × 3,390.63
  4. Step 4: Simplify right side
    3,857.69x = 19,525,315.42
  5. Step 5: Solve for x
    x = 19,525,315.42/3,857.69
  6. Step 6: Final answer
    x = 5,061.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.