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Finding the Fourth Proportional to 5,895.32, 8,137.97 and 3,537

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Solution

The fourth proportional to 5,895.32, 8,137.97 and 3,537 is: 4,882.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.32 : 8,137.97 = 3,537 : x
  2. Step 2: Convert to fraction form
    5,895.32/8,137.97 = 3,537/x
  3. Step 3: Cross multiply
    5,895.32x = 8,137.97 × 3,537
  4. Step 4: Simplify right side
    5,895.32x = 28,783,995.47
  5. Step 5: Solve for x
    x = 28,783,995.47/5,895.32
  6. Step 6: Final answer
    x = 4,882.52

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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.