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Finding the Fourth Proportional to 3,310.16, 4,965.52 and 1,362

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Solution

The fourth proportional to 3,310.16, 4,965.52 and 1,362 is: 2,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.16 : 4,965.52 = 1,362 : x
  2. Step 2: Convert to fraction form
    3,310.16/4,965.52 = 1,362/x
  3. Step 3: Cross multiply
    3,310.16x = 4,965.52 × 1,362
  4. Step 4: Simplify right side
    3,310.16x = 6,763,038.24
  5. Step 5: Solve for x
    x = 6,763,038.24/3,310.16
  6. Step 6: Final answer
    x = 2,043.12

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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.