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Finding the Fourth Proportional to 3,870.34, 5,767.43 and 3,636.59

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Solution

The fourth proportional to 3,870.34, 5,767.43 and 3,636.59 is: 5,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.34 : 5,767.43 = 3,636.59 : x
  2. Step 2: Convert to fraction form
    3,870.34/5,767.43 = 3,636.59/x
  3. Step 3: Cross multiply
    3,870.34x = 5,767.43 × 3,636.59
  4. Step 4: Simplify right side
    3,870.34x = 20,973,731.24
  5. Step 5: Solve for x
    x = 20,973,731.24/3,870.34
  6. Step 6: Final answer
    x = 5,419.10

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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.