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Finding the Fourth Proportional to 5,786.65, 7,985.01 and 3,428.34

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Solution

The fourth proportional to 5,786.65, 7,985.01 and 3,428.34 is: 4,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.65 : 7,985.01 = 3,428.34 : x
  2. Step 2: Convert to fraction form
    5,786.65/7,985.01 = 3,428.34/x
  3. Step 3: Cross multiply
    5,786.65x = 7,985.01 × 3,428.34
  4. Step 4: Simplify right side
    5,786.65x = 27,375,329.18
  5. Step 5: Solve for x
    x = 27,375,329.18/5,786.65
  6. Step 6: Final answer
    x = 4,730.77

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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.