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Finding the Fourth Proportional to 4,843.02, 7,264.80 and 1,380

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Solution

The fourth proportional to 4,843.02, 7,264.80 and 1,380 is: 2,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.02 : 7,264.80 = 1,380 : x
  2. Step 2: Convert to fraction form
    4,843.02/7,264.80 = 1,380/x
  3. Step 3: Cross multiply
    4,843.02x = 7,264.80 × 1,380
  4. Step 4: Simplify right side
    4,843.02x = 10,025,424
  5. Step 5: Solve for x
    x = 10,025,424/4,843.02
  6. Step 6: Final answer
    x = 2,070.08

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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.