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Finding the Fourth Proportional to 5,271.72, 7,907.82 and 1,762.02

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Solution

The fourth proportional to 5,271.72, 7,907.82 and 1,762.02 is: 2,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.72 : 7,907.82 = 1,762.02 : x
  2. Step 2: Convert to fraction form
    5,271.72/7,907.82 = 1,762.02/x
  3. Step 3: Cross multiply
    5,271.72x = 7,907.82 × 1,762.02
  4. Step 4: Simplify right side
    5,271.72x = 13,933,737.00
  5. Step 5: Solve for x
    x = 13,933,737.00/5,271.72
  6. Step 6: Final answer
    x = 2,643.11

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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.