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Finding the Fourth Proportional to 3,165.12, 4,368.42 and 1,838.88

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Solution

The fourth proportional to 3,165.12, 4,368.42 and 1,838.88 is: 2,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.12 : 4,368.42 = 1,838.88 : x
  2. Step 2: Convert to fraction form
    3,165.12/4,368.42 = 1,838.88/x
  3. Step 3: Cross multiply
    3,165.12x = 4,368.42 × 1,838.88
  4. Step 4: Simplify right side
    3,165.12x = 8,033,000.17
  5. Step 5: Solve for x
    x = 8,033,000.17/3,165.12
  6. Step 6: Final answer
    x = 2,537.98

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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.