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Finding the Fourth Proportional to 5,271.60, 7,907.76 and 1,761.48

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Solution

The fourth proportional to 5,271.60, 7,907.76 and 1,761.48 is: 2,642.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.60 : 7,907.76 = 1,761.48 : x
  2. Step 2: Convert to fraction form
    5,271.60/7,907.76 = 1,761.48/x
  3. Step 3: Cross multiply
    5,271.60x = 7,907.76 × 1,761.48
  4. Step 4: Simplify right side
    5,271.60x = 13,929,361.08
  5. Step 5: Solve for x
    x = 13,929,361.08/5,271.60
  6. Step 6: Final answer
    x = 2,642.34

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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.