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Finding the Fourth Proportional to 5,681.32, 8,511.04 and 4,642.49

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Solution

The fourth proportional to 5,681.32, 8,511.04 and 4,642.49 is: 6,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.32 : 8,511.04 = 4,642.49 : x
  2. Step 2: Convert to fraction form
    5,681.32/8,511.04 = 4,642.49/x
  3. Step 3: Cross multiply
    5,681.32x = 8,511.04 × 4,642.49
  4. Step 4: Simplify right side
    5,681.32x = 39,512,418.09
  5. Step 5: Solve for x
    x = 39,512,418.09/5,681.32
  6. Step 6: Final answer
    x = 6,954.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.