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Finding the Fourth Proportional to 5,272.36, 7,907.63 and 1,762.02

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Solution

The fourth proportional to 5,272.36, 7,907.63 and 1,762.02 is: 2,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.36 : 7,907.63 = 1,762.02 : x
  2. Step 2: Convert to fraction form
    5,272.36/7,907.63 = 1,762.02/x
  3. Step 3: Cross multiply
    5,272.36x = 7,907.63 × 1,762.02
  4. Step 4: Simplify right side
    5,272.36x = 13,933,393.40
  5. Step 5: Solve for x
    x = 13,933,393.40/5,272.36
  6. Step 6: Final answer
    x = 2,642.73

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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.