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Finding the Fourth Proportional to 3,167.94, 4,752 and 1,087.91

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Solution

The fourth proportional to 3,167.94, 4,752 and 1,087.91 is: 1,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.94 : 4,752 = 1,087.91 : x
  2. Step 2: Convert to fraction form
    3,167.94/4,752 = 1,087.91/x
  3. Step 3: Cross multiply
    3,167.94x = 4,752 × 1,087.91
  4. Step 4: Simplify right side
    3,167.94x = 5,169,748.32
  5. Step 5: Solve for x
    x = 5,169,748.32/3,167.94
  6. Step 6: Final answer
    x = 1,631.90

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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.