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Finding the Fourth Proportional to 4,871.52, 7,307.70 and 1,361.55

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Solution

The fourth proportional to 4,871.52, 7,307.70 and 1,361.55 is: 2,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.52 : 7,307.70 = 1,361.55 : x
  2. Step 2: Convert to fraction form
    4,871.52/7,307.70 = 1,361.55/x
  3. Step 3: Cross multiply
    4,871.52x = 7,307.70 × 1,361.55
  4. Step 4: Simplify right side
    4,871.52x = 9,949,798.94
  5. Step 5: Solve for x
    x = 9,949,798.94/4,871.52
  6. Step 6: Final answer
    x = 2,042.44

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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.